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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.

What is a derivative?

100
State the Integral Notation.
What is ∫_a^b f(x)dx
100
This curve is closest to the x-axis when finding areas with more than one curve.
What is a minor curve?
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).

What is a Normal Line?

200

Evaluate the following. pi ∫ (sin x+2)dx 0

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 definiton of a global limit.
What is limits involving infinity
200

Find any x-values 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 asymptote?

300
Find this equation's derivative: 4x^3 + 7x^2 + 2x + 3
What is the derivative of 12x^2 + 14x + x
300

This equation's derivative is 1/x. Find its integral.

What is ln|x|+c?

300
This formula is used to find areas with more than one curve.
What is ∫_a^b(f(x)-g(x) )dx?
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
What is the formula for Left and Right Hand Derivatives?
Lim f(a+h)-f(a)/h h->0+ and h->0-
400

This equation's derivative is: 25x^3 - 12x^2 + X. Find its intergral...

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 3 Derivative rules

Answer will vary...

500

Integrate ∫(-1)^(3) ((2x+1)^2)dx.

What is 57 1/3?

500

Find the volume enclosed by y=x^2 and the y-axis on [0,3] if revolved around the y-axis.

What is 81/2 pi

500

Name the 3 types of Discontinuities

What is Hole/Removable, Jump, Infinite?

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)?