AP Calculus AB - Unit 2 Review

 $\lim_{h\rightarrow0}\left(\frac{5\left(x+h\right)^2-5x^2}{h}\right)$  

•  $5x^2$  

•  $10x$  

• 10

• DNE

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the derivative.

• sinx
• -sinx
• tanx
• -tanx

 Given  $y=\frac{u}{v}$ , what is  $y'$   ?

• (vu' - uv')/v²

• (uv' - vu')/v²

• (vu' - uv')/u²

• (uv' - vu')/u²

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the average rate of change of f(x) = x² on the interval [1,3]?

• 8

• 10

• 4

• 5

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the instantaneous rate of change of f(x) = x² at x = 3?

• 2x

• 3

• 9

• 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

The derivative of which function is itself?

• e^x
• x
• sinx
• tanx

Write the slope of the line tangent to the graph of the function below at the point x = 8.

 $y=x^2-2$  

• 2

• -4

• -8

• 16

This is the equation of the line tangent to the graph of the function below at the point (-1, 4).

 $y=x^2+3$  

• y = -2x + 2

• y = 2x + 2

• -(1/2)x + (7/2)

• y = (1/2)x + (7/2)

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

Which option is using correctly the quotient rule?

• 
• 
• 
• 

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Find the value of the derivative at the indicated x-value.

• 4
• 7
• 2
• -1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2