Calculus Final Exam Review

Set up the derivative of y=(3x⁴ - 7)*(5x² + 1)

• (12x³)*(10x)
• (3x⁴ - 7)*(10x) + (12x³)*(5x² + 1)
• (3x⁴ - 7)*(10x) - (12x³)*(5x² + 1)
• (3x⁴ - 7)/(10x) + (12x³)/(5x² + 1)

Find the derivative.

• x⁴ cosx - 4x³sinx
• x⁴ cosx + 4x³sinx
• 4x³cosx
• -4x³cosx

Find the second derivative of
f(x) = x² + e^x  - cosx

• f"(x) = 2 + e^x + cosx
• f"(x) = 2x + e^x + cosx
• f"(x) = 2x + xe^x - cosx
• f"(x) = 2x + e^x + sinx

At which x-value is f continuous but not differentiable?

• a
• b
• c
• d

Find the slope of the tangent line to f(x) = -3x²-6x at x = 1.

• m = 0
• f'(x) = -6x - 6
• f'(x) = 6x
• m = -12

• sinx
• -sinx
• -cscx cotx
• sec²x

• cscx cotx
• secx tanx
• sec²x
• -cscx cotx

• secx tanx
• -secx tanx
• tan²x
• cscx cotx

Tags

CCSS.HSF.TF.B.7

find y'

• y = 2 x^-1

• y=2 x^-2

• y= −2x^-2

• y= −2 x^-1

Tags

CCSS.HSA.CED.A.4

Which of the following are synonyms for find the derivative?

• f'(x)

• dy/dx

• y'

• slope of the tangent line

• instantaneous rate of change