Final Calculus Test

Find h'(3)

• -2
• 0
• 1
• 3

• 6x²-3x+2
• 6x-3
• 9x-3x+2
• 6x-1

• 27x²-36
• 27x³-8
• 81x²-108x+36
• 9(3x-2)

• Only the Chain Rule
• The Quotient & Chain Rules
• Only the Quotient Rule
• Product & Quotient Rules

Find the derivative.

• (x²-8x-9)/(x-4)²
• (3x² - 8x + 9)/ (x-4)²
• 2x
• 1/(2x)

Find the derivative.

• 2/(x^½)+3/(x^⅔)
• 1/(2x^½)+3/(x^⅔)
• 1/(2x^½)+1/(3x^⅔)
• 2/(x^½)+1/(3x^⅔)

Find the derivative of f(x)=(x³ - 2x²)(3x²+1)

• (3x²-4x)(6x)
• 3x²-4x+6x
• 15x⁴-24x³+ 3x²-4x
• 18x³-4x

s(t) = t² - 20
Find the average velocity from t = 3 to t = 5.

• 2
• 4
• 6
• 8

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

An objects distance from its starting point at time t is given by the equation
s(t) = t³ - 6t²  - 4. 
What is the speed of the object when its acceleration is 0? 

• 2
• -24
• 22
• 44

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.1

If f'(c) = 0 and f''(c) < 0, then...

• f has a local minimum at x = c
• f definitely has an absolute maximum at x=c
• f definitely has an absolute minimum at x=c
• f has a local maximum at x=c