Calculus Derivative using Chain Rule Basic

Find the derivative of  f(x) = (x⁶ + 4)⁵

• f '(x) = 5x⁵(x⁴ + 4)⁴
• f '(x) = 6x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁶(x⁶ + 4)⁴

Find the derivative of f(x)=(x³ - 2x)²

and simplify

• 6x⁵ - 12x³+8x

• 6x⁵ - 16x³+8x

• x⁶-4x⁴+4x²

• 6x⁵ - 16x^3-8x

Tags

CCSS.HSA.APR.A.1

find y' for y= (2x+1)¹⁰

• 10(2x+1)⁹

• 20(2x-1)⁹

• 20(2x+1)¹⁰

• 20(2x+1)⁹

Tags

CCSS.HSA.APR.C.5

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Tags

CCSS.HSA.APR.A.1

Find the derivative f(x) = (x² + 2x)⁵

• f'(x) = 5(2x+2)⁴

• f'(x) = 5(x² + 2x)⁴

• f'(x) = 5(x² + 2x)⁴(2x)

• f'(x) = (10x + 10) (x² + 2x)⁴

 $\frac{dy}{dx}\ if\ y=\left(2x^2+4\right)^3$  Find

•  $\left(12x+4\right)\left(2x^2+4\right)^2$  

•  $3\left(2x^2+4\right)^2$  

•  $12x\left(2x^2+4\right)^2$  

•  $12\left(2x^2+4\right)^2$  

Tags

CCSS.HSA.APR.A.1

Find the derivative of following with respect to x:

f(x) = (x⁶ + 4)⁵

• f '(x) = 5x⁵(x⁴ + 4)⁴

• f '(x) = 6x⁵(x⁶ + 4)⁴

• f '(x) = 30x⁵(x⁶ + 4)⁴

• f '(x) = 30x⁶(x⁶ + 4)⁴

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Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

find y' for y= sin(2x²)

• 4sin(2x²)

• 4xcos(2x²)

• 2xcos(2x²)

• xcos(4x²)