Review for Quiz- Intro to Derivatives

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

• 2
• 1/2
• -2
• -1/2

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What was the average rate of change in the population from 1900 to 1990?

• 175 million people/year
• 1.94 million people/year
• 2.13 million people/year
• -1 million people/year

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Use data from the table to estimate the velocity at time  $t=50$  minutes.

• 0.08 mi/min

• 1.8 mi/min

• 3.74 mi/min

• 4 mi/min

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14

Find the derivative of the given equation
f(x) = -4x

• 4
• x
• -4
• 0

Find the derivative of the given equation

f(x)=12-8x

• -8x

• -8s

• -8

• 12 - 8

Find the derivative of the given equation
f(x) = x⁴ 

• x³ 
• 4x
• 4x³
• x⁴

Find the derivative of the given equation
f(x) = 1 - x²

• 1 - 2x
• -2x
• -2
• -1

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Find the derivative of the given equation
f(x) =  $\frac{1}{x^2}$ 

• f'(x) = 1/2x

• f'(x) = -2x^-3

• f'(x) = 2x

• f'(x) = -2x