review - calculus - derivatives

Find the second derivative of the function:
f (x) =  2x - 5x⁶

• f ''(x)= 2 - 30x

• f ''(x) =  2-30x⁵

• f ''(x) = -30x⁵

• f ''(x) = -150x⁴

Tags

CCSS.HSA.APR.A.1

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:
y=e^5x

• y'=e^5x

• y'=5e^5x

• y'=5e^x

• y'=(1/5)e^5x

Use the quotient rule to determine the derivative.

• 8x⁴ -60x²

• 16x⁴

• (8x⁴ -60x²)/(2x²-5)²

• 3x

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Derivative means the same thing as

• slope of the tangent line

• slope of the normal line

• exponent

• slope of the secant line

Find the derivative of f(x)=(x³-2x)²

• 6x⁵ - 12x³+8x

• 6x⁵ - 16x³+8x

• x⁶-4x⁴+4x²

• 6x⁵ - 16x^3-8x

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)

Which graph is f(x)?

• blue graph

• red graph

• none of these

Which graph is f '(x)?

• blue graph

• red graph

• none of these