Calculus Derivatives

Find the derivative of f(x)=(x³-2x)²

• 6x⁵ - 12x³+8x
• 6x⁵ - 16x³+8x
• x⁶-4x⁴+4x²
• 6x⁵ - 16x^3-8x

Tags

CCSS.HSA.APR.A.1

Determine the derivative:

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

Find dy/dx for
y = 3^2x+5 

• dy/dx = 3^(2x+4)
• dy/dx = (3^(2x+4)) ln 3
• dy/dx = 3^(2x+5) ln3
• dy/dx = (3^(2x+5)) (ln 3) (2)

Tags

CCSS.HSF.BF.B.5

• A
• B
• C
• D

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

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)

Tags

CCSS.HSA.SSE.B.3

Differentiate y = √(x² - 1)

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

d/dx (sin²x) = ?

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

Tags

CCSS.HSF.IF.C.8

Find the derivative:
y=4e^x²

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

Tags

CCSS.HSF.IF.A.2

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)