Calculus Review Game- Finding Derivatives

Basic Derivative Information and Power Rule

100

The first derivative calculates the ________.

Slope (or IROC) of the original function

200

d/dx (5)=

0

300

d/dx( x⁵)/5 =

x⁴

400

d/dx 3x²-x+3 =

6x-1

500

d/dx (x-9)(x+9)

2x

Basic Derivative Information and Power Rule

100

d/dx  (e^x)

e^x

200

d/dx (3x)²

18x

300

d/dx (4x²)

8x

400

Differentiate y=-5x+8

y′ =-5

500

Differentiate y=(x+1)(x-7)

y′ = 2x - 6 

Basic Derivative Information and Power Rule

100

d / dx ( 3x ) 

3

200

f(x)= x²+ x , what is f′(x)?

2x + 1

300

Differentiate y=x³( 2x-4)

y′ =8x³ - 12x²

400

Differentiate (7x³+6x² ) / x 

y′ =14 x + 6 

500

Differentiate y=(5x+3)(5x-3) 

y′ = 50x

Basic Derivative Information and Power Rule

100

d/dx (-8x³) 

 -24 x²

200

Differentiate y= 2x^-3

y′ = -6 / x⁴

300

Differentiate y= (x+9) (x + 9)

y′= 2x+18

400

f(x)= (x²+5x) / x  , what is f′(x)?

f′(x)= 1

500

Differentiate y= (x³+ x ) / (x)

y′ = 2x

Basic Derivative Information and Power Rule

100

d/dx  x

1

200

Differentiate y= (5x)²

y′ = 50x

300

Differentiate y= 4x^-5 

y′ =-20 / x⁶

400

d/dx (x+10)(x-10)

2x

500

d/dx (2x -3)(x+5)

4x+7