Basic Derivative Information and Power Rule
Chain Rule
Product Rule
Quotient Rule
100
The derivative calculates the ________.
Slope
100
Define the Chain Rule for f(g(x))
g′(x)f′(g(x))
100
Define the Product Rule using f(x)g(x)
f′(x)g(x)+ g′(x)f(x)
100
Define the Quotient Rule using f(x)/g(x)
[g(x)f′(x) - f(x)g′(x)]/ (g(x))²
200
d/dx 5 =
0
200

d/dx (2x+3)6

12(2x+3)5

200

f(x)=x²(3-x), what is f′(x)?

-3x(-2 + x)

200

Differentiate y= 2/(x+1)

y′ = -2/ (x+1)²

300
d/dx x² =
2x
300

d/dx (6x2+7x)4 

4(12x+7)(6x2+7x)3

300

Differentiate y=x³(4+x)

y′ = 4x2(x+3)


300

Differentiate y= 2x/(x-2)

y′= -4/(x-2)2

400
d/dx 3x²-x+3 =
6x-1
400

Differentiate y=√(13x)

y' = √13/2√x

400

Differentiate y=ex(x)

y′ = ex(x) + 1

400

f(x)= ex/x?

f′(x)= ex(x-1) / x2

500

The graph is not differentiable at _________. 

Sharp points and Discontinuities

500

Differentiate y=(4t2−3t+2)-2 

y′ =−2(8t−3)(4t2−3t+2)−3 

500

Movie that had 3 kids searching for a treasure to keep a house from facing foreclosure.

The Goonies

500

Designed the first official circulated U.S. coin

Benjamin Franklin


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