AP Calculus Extra Test Points

Graph of a function is given. Where is the function continuous yet NOT differentiable?

• x = a, b, c, d

• x = b, c, d

• x = a, b,

• x = b, d

• 15x²

• (5/4)x⁴

• indeterminate

• ∞

Find y' if y = cos⁵(4x³)

• -5cos⁴(4x³)sin(12x²)
• -60x²sin⁴(4x³)
• -5cos⁴(4x³)sin(4x³)
• -60x²cos⁴(4x³)sin(4x³)

Tags

CCSS.HSF.TF.C.9

Let f be the piecewise function defined to the left. Which of the following statements about f is true?

Given that y = (x+2)/(x-3), find y'.

• y' = -1/(x-3)²
• y' = -5/(x-3)²
• y' = (2x-5)/(x-3)²
• y' = (2x-1)/(x-3)²

Tags

CCSS.HSF-BF.A.1C

Find H'(1)

Find f "'(x) when

f(x)=10x⁵ +3x⁴ -5x³ +2x² -10x+6

• 200x³+36x² -30x+4

• 600x² +72x -26

• 600x² +72x -30

• 600x² +72x -36

Suppose t is a continuous function containing the ordered pairs shown in the table. On which interval(s) must t attain a value of -2.5? Select all that apply.

• (1, 2)

• (2, 3)

• (3, 4)

• (4, 5)

• (5, 6)

• 0

• 1

• 2

• 10

• -8

• 8

Tags

CCSS.HSF-BF.A.1C