Lecture 20: Retrieving Multiple Values from Functions

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- How to interpret partial derivatives of a temperature function
- Approximate partial derivatives from a table
- Approximate partial derivatives from a table
- If the average value of f on the interval 2 to 4 is 3, then find the integral shown
- Find the partial derivatives of f(x,y,z)=xyz
- Find the partial derivatives of f(x,y,z)=x+y+z
- Find and interpret the partial derivatives of f(x,y)=3x+2y+4
- Find the derivative of f(ln(x)) given f(x)=x^2+2x
- Find all the horizontal asymptotes of (5+2^x)/(1-2^x)
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- A function is given: f(x) = 3x + 12 a. Determine the inverse of this function and name it g(x). b. Use composite functions to show that these functions are inverses.
- find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point.
- find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point. The function is x+y^2+2x=4
- Solve 2cos^2(x)+sin(x)-1=0 on 0 to 2pi
- The integral of the absolute value of x between 0 and 2pi
- Find the value of the integral of the absolute value of cos(x) between 0 and 2 pi
- Find the derivative of sin(x^2)+cos(2x)
- Find the partial derivatives of f(x,y,z)=x^2+y^2+z^2
- Find the partial derivative with respect to x of f(x,y,z)=sin^-1(xyz)
- Practice Adding Complex Numbers
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- Find the partial derivative of f(x,y,z)=sqrt(x^2+y^2+z^2) with respect to x
- Find the partial derivative of f(x,y,z)=sqrt(x^2+y^2+z^2) with respect to y
- Find the partial derivative of f(x,y,z)=sqrt(x^2+y^2+z^2) with respect to z
- Guided Distributive Property Practice
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- Find the partial derivative of f(x,y,z)=sqrt(x^2+y^2+z^2) with respect to z
- Find the partial derivative of f(x,y,z)=ln(2x+4y+z) with respect to x
- Find the partial derivative of f(x,y,z)=ln(2x+4y+z) with respect to y
- Find the partial derivative of f(x,y,z)=ln(2x+4y+z) with respect to z
- Find the partial derivative of f(x,y,z)=1/sqrt(x^2+y^2+z^2) with respect to x
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- Find the partial derivative of f(x,y,z)=1/sqrt(x^2+y^2+z^2) with respect to y
- Find the partial derivative of f(x,y,z)=1/sqrt(x^2+y^2+z^2) with respect to z
- Identifying slope and y intercept practice and solutions
- Find the partial derivative of f(x,y,z)=1/sqrt(x^2+y^2+z^2) with respect to z
- Find the partial derivative of f(x,y,z)=x^3e^(yz) with respect to x.
- Find the partial derivative of f(x,y,z)=x^3e^(yz) with respect to y.
- Find the partial derivative of f(x,y,z)=x^3e^(yz) with respect to z.
- How to convert r=-3cos(theta) to rectangular form
- Converting r=-3cos(theta) to rectangular form
- Find the partial derivative with respect to x of f(x,y,z) = cos(x+y+z)
- Find the partial derivative with respect to y of f(x,y,z) = cos(x+y+z)
- Find the partial derivative with respect to z of f(x,y,z) = cos(x+y+z)
- Find the partial derivative with respect to x of f(x,y,z) = cos(ln(x)+ln(y)+ln(z))
- Find the partial derivative with respect to y of f(x,y,z) = cos(ln(x)+ln(y)+ln(z))
- Find the partial derivative with respect to z of f(x,y,z) = cos(ln(x)+ln(y)+ln(z))
- Find the partial derivative with respect to x of f(x,y,z) =xy+xz+yz
- Find the partial derivative with respect to y of f(x,y,z) =xy+xz+yz
- Find the partial derivative with respect to z of f(x,y,z) =xy+xz+yz
- Integral of the sine of square root of x
- Find the value of x in 2x+4x+6x=10
- How to solve 2(x+4)=x+5
- How to solve 2(x+4)=4 using division
- How to solve 2(x+4)=4(x+5) using the distributive property on the left and right
- Find the partial derivative with respect to x of f(x,y,z) =e^(-xyz)
- Find the partial derivative with respect to y of f(x,y,z) =e^(-xyz)
- Find the partial derivative with respect to z of f(x,y,z) =e^(-xyz)
- Find the partial derivative with respect to x of ln(cos(x)+sin(y)+tan(z))
- Find the partial derivative with respect to y of ln(cos(x)+sin(y)+tan(z))
- Find the partial derivative with respect to z of ln(cos(x)+sin(y)+tan(z))
- Find the partial derivative with respect to x to e^(-x^2-y^2-z^2)
- Find the partial derivative with respect to y to e^(-x^2-y^2-z^2)
- Find the partial derivative with respect to z to e^(-x^2-y^2-z^2)
- Find the partial derivative with respect to x of yzln(xz)
- Find the partial derivative with respect to y of yzln(xz)
- Find the partial derivative with respect to z of yzln(xz)
- Find the partial derivative with respect to x of x^2-xy+y^2
- Find the partial derivative with respect to y of x^2-xy+y^2
- Find the partial derivative with respect to y of e^(xy)ln(y)
- How to find the slope of tangent line in the plane x=2
- How to find the slope of tangent line in the plane y=-1
- Slope of tangent line in the plane x=-1 to the surface 3x^2+y^3
- Surface Area of Triangular Prism
- Evaluate the function f(x,y)=y/x at several points.
- Find the domain of the square root of y-x^2
- Find the domain of sqrt(4-x^2-y^2)
- What happens to the volume when we double the radius of a cylinder
- Find the antiderivative of 1/(x^2)+5/(x^5) using the power rule for integrals.
- Find the domain of 1/(x-y)
- Find the domain of sqrt(x-y)
- Find the domain of 1/sqrt(x-y)
- Find the domain of y/x^2
- Find the domain ln(x^2+y^2)
- Find the domain of sin^(-1)(x+y)
- Find the domain of ln(x^2+y^2)
- Find the domain of ln(9-x^2-y^2)
- Find the domain of sqrt(y-x+2)
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- Find the domain of 1/(x^2-y)
- Find the domain of ln(x^2+y^2-4)
- Find the domain of 1/(x^2+y^2-4)
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- Find the domain of sqrt((x^2-4)(x^2-9))
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- Find and sketch the level curves of f(x,y) = x+y for c=-1,1,2,3,4
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- Find the partial derivative of xln(y)
- Find the derivative of ln(2x)
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- Limit of x^(1/x) as x goes to infinity.
- Detailed examples of solving linear equations with fractions
- Find the level curves of f(x,y)=y/x
- Find the level curves of f(x,y)=y/x^2
- Find the level curves of f(x,y) = xy
- Find the domain of f(x,y) = sqrt((x+1)(y-1))
- Find the derivative of (2x-5)^3 using the chain rule
- Find the derivative of 1/sqrt(1+x)
- Find the derivative of the square root of x squared minus 1
- Find the derivative of ln(sin(x))
- Find the derivative of ln(cos(x))
- Find the derivative of ln(cos(x))
- Find the derivative of ln(cos(x)+sin(x))
- Find the derivative of the square root of 1 minus x
- Derivative of f(x)=x|x|
- Derivative of x^2+y^2=25
- Derivative of x^2-y^2=16
- Derivative of x^(1/2)+y^(1/2)=25
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- detailed example of solving a linear inequality 2x plus 4 is greater than 10
- detailed example of solving a linear inequality 2x minus 3 is greater than negative 4
- detailed example of solving a linear inequality 2x minutes 1 over 2 is greater than negative four
- detailed example of solving a linear inequality 2x plus 1 over 2 is greater than one over four
- Find a polynomial that represents the perimeter of the triangle.
- Find a polynomial that represents the length of the missing side.
- Find a polynomial that represents the volume of a cube.
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- integral ln x
- integral xlnx
- integral lnx dx between 0 and 1
- Find derivative of g(x)=ln(x*sqrt.(x^2-1))
- derivative of ln(sqrt(x+2))
- solution to 3x plus 1 over 2 minus x over 3 equals 1
- derivative of 1/x
- derivative of e^(1/x)
- derivative of 2^x
- find the vector v with the given magnitude and the same direction as u example 2
- find the vector v with the given magnitude and the same direction as u
- find a polynomial expression that represents the area of the rectangle shown in the figure
- find a polynomial expression that represents the area of the square shown in the figure
- find the directional derivative of f at the given point in the direction indicated by the angle
- find the directional derivative of f at the given point in the direction indicated by the angle example 2
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- find the average of the next two grades in order to get some desired overall average
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- find the final temperature after a rise of some number of degrees
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- derivative of (1+3sin(2x))^(1/3)
- derivative of 34 times 1 over 1 plus 64 times e to the negative point 7 x
- integral of negative 2 y squared times x between negative 2 and positive 2
- partial implicit derivative example with respect to x
- detailed example of solving a nonlinear system with the method of substitution
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- integral of e to the 4x over e to the 4x plus 1 over e to the 4x
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- find a missing y intercept in a quadratic equation
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- Finding the dot product between two plane vectors and the angle between them
- Find the equation of a line with a y intercept that is the same as that of another line
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- find the limit of x minus 1 over sqrt of x plus 3 minus 2
- equation of tangent line to x to the 2 over plus y to the 2 over 3 at the point x is -3sqrt(3) and y is 1
- a very detailed example of finding the slope of a implicit curve involving trigonometric functions
- find the equation of a tangent line to a rational function
- find the length of the major and minor axes and the center of an ellipse
- write the complex number in the form x plus iy
- detailed example of dividing complex numbers
- does 2 plus 2j over 1 plus j equal 2 in complex number division
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- solve for k in v equals k times x to the negative 1 over 2 times y to the 1 over 2 times z to z to the negative 1 over 2
- solve for f in 1 over f equals 1 over f sub 1 plus 1 over f sub 2
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- detailed instructions for sketching a vertical line
- detailed instructions for sketching horizontal lines
- detailed instructions for sketching horizontal and vertical lines
- derivative of k over x
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- derivative of cosine squared
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- explanation of how to find the area between two curves using integration
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- step by step instructions for finding the derivative of x times square root 64 minus x squared
- step by step instructions for converting r equals 3 cos x to rectangular form
- step by step instructions for completing the square on x squared minus 3x
- step by step instructions for solving an equation with a fraction on the left side
- chain rule for function of two variables where each of x and y depends on t
- solving an exponential equation that needs rewriting to base 10 on both sides
- solving a nonlinear system consisting of an ellipse and a parabola
- step by step instructions for adding two rational expressions
- step by step instructions for find the equation of a tangent line to a surface in a plane y equals negative one
- Partial fraction decomposition of 3x plus 1 divided by x minus 1 times x squared plus 1
- showing that an equation is linear
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- showing that a curve is a function
- how much money is an account starting from one cent per day and doubling for 31 days
- derivative of e to the negative x
- derivative of sin squared of x
- derivative of e to the 2x
- very detailed example of finding the area between two curves
- derivative of e to the x squared
- derivative of the square root of x
- derivative of the square root of x
- antiderivative of ln of x plus 1
- how to complete a table of derivatives
- how to stretch a function vertically by a certain factor
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- step by step instructions for finding the antiderivative of ln(x)
- step by step instructions for finding the integral of e to the 2x
- step by step instructions for finding the roots of x squared plus 6x plus 8
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- step by step example of finding a line that is perpendicular to another line
- finding the direction of maximum increase using the gradient vector
- step by step directions for finding the antiderivative of 1 over x squared
- step by step instructions for finding the antiderivative of sinxcosx
- step by step instructions for finding the antiderivative of xlnx
- step by step instructions for finding the antiderivative of sine squared of x
- step by step instructions for finding the integral of cosine squared of x
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- derivative of e the negative 2x
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- step by step instructions for finding the maximum value of a parabola
- three step by step example of solving linear systems using the method of substitution
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- step by step instructions for converting 3pi over 4 radians to degrees
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- definitions of the six trigonometric functions
- limit of csc x as x approaches pi
- limit of tanx over x as x approaches zero
- derivative of ln of x squared
- derivative of the square of ln of x
- step by step instructions for finding the integral of 1 over xlnx
- step by step instructions for finding the antiderivative of x squared times lnx
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