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Derivatives
Integrals
Area/Volume
Limits
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

State the Integral Notation.

What is ∫ f(x)dx

100

This curve is closest to the x-axis when finding areas with more than one curve.

What is a lower bound curve?

100

Three conditions of continuity.

What are f(c) exists, lim f(x) as x->c from the left equals the lim f(x) as x->c from the right (so the limit exists), and f(c)=lim f(x) as x->c?

100

State the formula of the Product Rule for Derivatives

What is f(x)g'(x)+f'(x)g(x)

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. ∫ (sin (x)+2)dx lower bound 0 upper bound pi

What is 2pi + 2?

200
A known __________ of A(x) can be used to find a volume of a solid. Fill in the blank..
What is a cross section?
200

State the definition of a Derivative.

lim ((f(x+h)-f(x))/(h)) as h ->0

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: 4x^3 + 7x^2 + 2x + 3

What is the derivative of 12x^2 + 14x + 2

300
State the Definite Integral Rules.
What is order of integration, zero, constant multiple, sum and difference and additivity.
300

This formula is used to find areas with more than one curve.

What is ∫(f(x)-g(x) )dx? lower bound a upper bound b

300

Answer the following Limit Question: Lim (x^2-3x-10)/(x^2-25) as 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
What is the formula for Left and Right Hand Derivatives?
Lim f(a+h)-f(a)/h h->0+ and h->0-
400

 25x^3 - 12x^2 + X. Find its integral

What is the derivative of 25x^4/4 - 4x^3 + x^2/2+C?

400
All cross sections to find a volume will be in circle form, the formula for the cross section is A(x)= A= pi r^2. Name this method..
What is the Disk Method?
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

Name 8 of the 17 Derivative rules

Answer will vary...

500

Integrate ∫ ((2x+1)^2)dx. Lower bound -1 upper bound 3

What is 57 1/3?

500

Find the volume enclosed by y=x^2 and the y-axis between [0,3] which 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 36x^2-3x^(-1/2)