Calculus Chapter 3.1-3.2 Review

Find the average rate of change of f(x)=x²+1 on [1,3]

The number of deer in the park is recorded in the table

Find the average rate of change on [2,4]

If s(t)=t²-2t is a measure of feet traveled with t measured in seconds find the average velocity between t=0 and t=2.

If y=2x²-5x+6, find y'

 $f\left(x\right)=\frac{4}{x+2}$  find f ' (-3)

Find the slope of the tangent line to f(x) = -3x²-6x at x = 1.

• m = 0
• f'(x) = -6x - 6
• f'(x) = 6x
• m = -12

 $\frac{\text{d}}{\text{d}x}\left(2x^{\pi}\right)$  

•  $2\pi x^{\pi}-1$  

•  $2\pi x^{-1}$  

• 2

•  $2\pi x^{\left(\pi-1\right)}$  

• 0

What is the equation of the line tangent to f(x)= 4x²+2x-1 at x=0?

• y+1=2(x+1)

• y=2x-1

• y=2x+2

• y= -x-1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Write the equation of the normal line of:  $f\left(x\right)=2x^2-\frac{1}{x}$  at x = 1

•  $y=-\frac{1}{5}x+\frac{4}{5}$  

•  $y=5x-6$  

•  $y-1=5\left(x-1\right)$  

•  $y-1=-\frac{1}{5}\left(x-1\right)$  

Tags

CCSS.HSG.GPE.B.5

What is the equation of the line normal to f(x)=5x⁵-2x  at x =-1?

• y+3 =23(x+1)
• y-3 = -1/23 (x-1)
• y+3 = -1/23 (x+1)
• 23y = -x-1