AP Calc Final Review

What is the slope of the tangent line to the graph of y = (3x - 5)² at x = 2?

• 6

• 1

• 2

• -1

Evaluate the expression shown.

• Does not exist

• 1

• 0

• -1

• 0

Tags

CCSS.HSF.TF.A.2

• 0

• -1

Tags

CCSS.HSF.TF.A.2

Find f'(x) if f(x) = e^4x+1.

• (4x+1)e^4x+1

• 4e^4x

• 4e^4x+1

• e^4x+1

Tags

CCSS.HSF-IF.C.8B

Find y' if y = 2sin³(x - 1)

• 6cos²(x-1)

• 6sin²(x-1)cosx

• 6sin²(x-1)cos(x-1)

• 6sin²(x-1)

Tags

CCSS.HSF.TF.C.9

If the derivative of a function is positive then the function must be _______ .

• increasing

• positive

• decreasing

• negative

If the second derivative of a function is negative then the function is ______.

• decreasing

• concave down

• negative

• Who knows?

Tags

CCSS.HSF.IF.B.4

• ln x² +C

• ln x +C

• -x^-1 +C

• 1/x³ +C