AP Calculus AB

What is the second derivative of f(x) = cos 4x?

• 16 cos 4x

• -16 cos 4x

• 16 sin 4x

• -16 sin 4x

Tags

CCSS.HSF.IF.A.2

Find the limit.

• 0

• 8

• 16

• Does Not Exist (DNE)

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.7

Name the discontinuity at x=2.

(Click the image.)

• Infinite Discontinuity

• Removable Discontinuity

• Jump Discontinuity

• Continuous at x=2

Tags

CCSS.HSF-IF.C.7D

when is the function f(x)=x²+6x+9 increasing?

• (3,∞)

• (-∞,3)

• (-3,-∞)

• (-3,∞)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing
• The concavity of the function is up
• The concavity of the function is down

Tags

CCSS.HSF.IF.B.4

For a function g(x), g'(-2)=0 indicates that x=-2 is ________________.

• an inflection point
• a critical point
• a relative maximum
• a relative minimum

For a function f(x), f''(4)=0 indicates that x=4 is _____________.

• an inflection point
• a critical point
• a relative maximum
• a relative minimum

Given a function, f(x), if f'(x)>0 over a certain interval, then f(x) is __________ over that interval.

• increasing
• decreasing
• concave up
• concave down

Tags

CCSS.HSF.IF.C.7

Integrate  $\int_{ }\ \frac{x^2+3x-2}{x}\ \ dx$  

•  $\frac{x^2}{2}+3x-2\ln\left|x\right|+c$  

•  $\frac{x^2}{2}+x+c$  

•  $\frac{x^2}{2}+3x+c$  

•  $2x+3$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.B.3

Find $F'\left(x\right)$  given  $F\left(x\right)=\int_0^{3x}\cos t\ dt$  

•  $\sin\ 3x$  

•  $-3\sin\ 3x$  

•  $\cos3x$  

•  $3\sin3x$  

•  $3\cos3x$