Derivatives Quiz 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)

Tags

CCSS.HSA.APR.A.1

Find the derivative.

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.TF.A.2

CCSS.HSF.IF.A.1

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

• A
• B
• C
• D

Tags

CCSS.HSF.IF.A.2

Hint: Split the fraction (Easier than quotient rule)

• A

• B

• C

• D

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

• a
• b
• c
• d

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.C.8

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

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

Tags

CCSS.HSF.TF.C.8

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