Basic Derivative Review for Test

Determine the derivative:

• A
• B
• C
• D

Find dy/dx for y=-(3x²+5x)⁵

• y=-5(x+5)⁴
• y=-5(6x+5)(3x²+5x)⁴
• y=-6x+5(3x²+5x)⁴
• y=-6x(3x²+5x)⁴

Differentiate:
f(x) = x³e^4x
*You will need to remove the Greatest Common Factor

• f '(x) = 3x²e^4x
• f '(x) = 3x²e^4x+3x²e^4x
• f '(x) = x²e^4x(4x+3)
• f '(x) = xe^4x(4x²+3x)

Differentiate y = √(x² - 1)

• √(x² -1)
• (1/2x)(x² - 1)^^(-1/2)
• x(x² - 1)^^(-1/2)
• x(x² - 1)^^(1/2)

d/dx (sin²x) = ?

• 2sin x
• 2(sin x)(cos x)
• 2cos x
• 2x(cos x)

Find the derivative:
y=4e^x²

• y'=8xe
• y'=8xe^x²
• y'=8xe^2x
• y'=8xe^4x²

Tags

CCSS.HSF-IF.C.8B

Find the derivative:
y=5x²e^3x

• y'=10xe^3x(2x+3)
• y'=5xe^3x(3x+2)
• y'=10ex^3x(3x+2)
• y'=5xe^3x(2x+3)

.

• (3x^2-2)cos(x^3-2x)
• -(3x^2-2)cos(x^3-2x)
• cos(2x^2-2)
• sin(2x^2-2)

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 f(x) = tanxcosx

• f'(x) = sec²xcosx - tanxsinx
• f'(x) = sec²xcosx + tanxsinx
• f'(x) = sec²xsinx
• f'(x) = sec²xcosx - tanxcosx