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Derivatives 1
Integrals
Area/Volume
Derivatives 2
Misc.
100

A function that models the slope of the curve for all x-values for which it exists. This is the definition of what?

What is the definition of a derivative?

100

Integrate the indefinite integral of 3sin(3x-1)

What is -cos(3x-1) + C?

100

The key to finding the R or r when rotating an area around a vertical line.

What is change function to have respect to y?

100
Name 3 of the rules to find limits
What is Difference Rule, Constant Multiple Rule, Product Rule, Power Rule, Quotient Rule
100
State the formula of the Power Rule for Derivatives
What is A'b + B'a
200

A line that passes through the curve at x=a and has a slope m=-1/F '(a). Name this type of line.

What is a Normal Line?

200

Evaluate the following. ∫ 10x(5x2-3)6dx

What is (5x2-3)7/7 + C?

200

The two categories of solids of revolution are ________ and ________.

What are disc and washer?

200
State the definiton of a global limit.
What is limits involving infinity
200
Find any points where the graph fails to be differentiable and explain why 3√(5x+7)
What is y is not differentiable at x=-7/5 due to a vertical tangent
300

Find this equation's derivative: 4x3 + 7x2 + 2x + 3

What is 12x2 + 14x + 2 (+ C)?

300

Evaluate the integral of ex.

What is ex?

300

With limits of 2 to 4, find the area between the functions y=x2 and y=x?

What is 38/3?

300
Answer the following Limit Question: Lim x^2-3x-10/x^2-25 x->2
What is L=4/7
300
A function fails to be differentiable if it has a....
What is a discontinuity, corner, cusp or a vertical tangent
400

The derivative of

                        ln x

What is 1/x?

400

This equation is: 25x3 - 12x2 + x. Find its integral...

What is 25x4/4 - 4x3 + x2/2?

400

R = 2pi. This solid of revolution will be a _________.

What is a cylinder?

400
Answer the following Global Limit Equation 7x^4+2x^7/4x^7
What is 1/2
400
Integrate the following equation ∫√(7x+9)dx
(2/21)(7x+9)^(3/2)+C
500

The derivative of ex

What is ex?

500

Evaluate the integral of (3-x2)2.

What is 9x - 2x3 + x5/5 + C?

500
Find the area enclosed by y=x^2 and the y-axis between [0,3] is revolved around the y-axis.
What is 9/2 pi
500
Name the 4 types of Discountinuties
What is Hole, Jump, Infinity, Oscillating
500
Find dy/dx and d^2y/dx^2 of the following equation y=3x^4-4x^(3/2)
What is 12x^3-6x^(1/2) and 48x^2-3x^(-1/2)