Semester Review Calc

• 1/x²+C
• x²+C
• -1/x²+C
• C

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

What is f'(x) if f(x) = cos(5x⁴)?

• f'(x) = sin(20x³)
• f'(x) = 20x³ sin(5x⁴)
• f'(x) = -sin(20x³)
• f'(x) = -20x³ sin(5x⁴)

Find the derivative of f(x) = x²sinx

• f'(x) = 2xsinx - x²cosx
• f'(x) = 2xsinx + x²sinx
• f'(x) = 2xsinx + x²cosx
• f'(x) = 2xcosx

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Find the derivative of the given equation
f(x) = 1 - x²

• 1 - 2x
• -2x
• -2
• -1

What is the derivative of tanx?

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

Find dy/dx if y = cos⁵x

• 5cos⁴x
• -5sin⁴x
• 5cos⁴xsinx
• -5cos⁴xsinx

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing

What is the horizontal asymptote to this function?

• x=4
• y=0
• none
• y=4

Determine the integral rule of the given expression:

• cosx + c
• -cosx + c
• ½sin²x + C
• ¹/_√(1-x²) + C