Ch 3 Quiz #3 derivatives

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

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

Tags

CCSS.HSA.APR.A.1

Find an equation of the tangent line to the graph of f(x) at the point (1, 100)
f(x) = (5x⁵ + 5)²

• y = 500x + 400
• y = 100x + 400
• y = -500 x - 400
• y = 500x - 400

Find f '(x) if f(x) = x⁴sinx

• 4x³cosx
• x⁴cosx
• x⁴cosx + 4x³sinx
• -x⁴cosx + 4x³sinx

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)

If f(x) = sin³(2x), then f'(x) =

• 3cos(2x)
• 6sin(2x)
• 3sin²(2x)cos(2x)
• 6sin²(2x)cos(2x)

Tags

CCSS.HSF.TF.C.9

Find h'(3)

• -2
• 0
• 1
• 3

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

Find the derivative.

• 
• 
• 
• 

Find the slope of the curve y = sinx cosx when x = π.

• 1

• -1

• 0

• 2

Find the coordinate points where the tangent line(s) are parallel to the x-axis, for the function y = x³ - 3x² + 6.

• (-2, -14) and (0, 6)

• (0, 6) and (1, 4)

• No tangents parallel to the x-axis exist.

• (0, 6) and (2, 2)

• 1/(12x²)
• 3/x
• 1/(4x³)
• 4x³

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7