Derivatives
Chain Rule
Product/Quotient Rule
Wild Card
100

What is the derivative of y=3x^2

y'=6x

100

Find y' if y=(3x-9)^4

12(3x-9)^3

100

Define the Product Rule using f(x)g(x)

f'(x)g(x)+g'(x)f(x)

100

State the formula of the Power Rule for Derivatives

What is A'b+ B'a

200

What is the definition of a derivative?

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

200

Find the derivate of f(x)=sin4x

4cos4x

200

Differentiate=y=2/(x+1)

y'=-2/(x+1)^2

200

Limit Question: Lim x^2-3x-10/x^2-25x->2

lim=4/7

300

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

12x^2+14x+x

300

Find y' if y=(9x^2+4)^1/3

(6x)/(9x^2+4)^2/3

300

Differentiate y=x^3Inx

y'=x^2(1+3Inx)

300

Name the 4 types of Discontinuities

 Hole, Jump, Infinity, Oscillating

400

Find the derivative of f(x)= 3sinx-2cosx

3cosx+2sinx

400

y=tan(x^2+sinx)

(2x+cosx)*sec^2(x^2+sinx)

400

f(x)= (x^2-1)^3/ x^2+1, what is f′(x)?

f′(x)= [4x(x^2-1)^2(x^2+2)] / (x^2+1)^2

400

Global limit 7x^24+2x^7/4x^7 

Lim=1/2

500

 What is the formula for Left and Right Hand Derivatives?

Lim f(a+h)-f(a)/h h->0+ and h->0-

500
f(x)= sin3 4x find F'x

12sin^2 4xcos4x

500

Differentiate y=x^2sin^3(5x)

y′ =xsin^2(5x)[15xcos(5x)+2sin(5x)]

500

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

Minor curve