Chain Rule Practice 1

Find dy/dx for 
y = (x² + 1)³

• dy/dx = 3(x² + 1)²
• dy/dx = 3(2x)²
• dy/dx = 6x(x² + 1)²
• dy/dx = 2x(x² + 1)²

Tags

CCSS.HSF-IF.C.8B

Find dy/dx for
(3x - 2x²)³

• dy/dx = (3 - 4x)⋅3(3x - 2x²)²
• dy/dx = 3(3x - 2x²)²
• dy/dx = 3(3 - 4x)²
• dy/dx = (3 - 4x)(9x - 18x²)²

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

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Find the derivative of $y=\left(x+6\right)^4\$  

•  $4\left(x+6\right)^3$  

•  $3\left(x+6\right)^4$  

•  $24\left(x+6\right)^3$  

•  $4\left(x+5\right)^3$  

Find the derivative of following with respect to x:

y = (2x + 1)¹⁰

• y' = 10(2x + 1)⁹

• y' = 20(2x - 1)⁹

• y' = 20(2x + 1)¹⁰

• y' = 20(2x + 1)⁹

Find the derivative for $y=\left(1-x^2\right)^5$  

•  $\frac{dy}{dx}=-10x\left(1-x^2\right)^6$  

•  $\frac{dy}{dx}=10x\left(1-x^2\right)^4$  

•  $\frac{dy}{dx}=-10x\left(1-x^2\right)^4$  

•  $\frac{dy}{dx}=10\left(1-x^2\right)^4$  

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.

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 $\frac{d}{dx}\sqrt{x^3-1}$  

•  $\sqrt{3x^2}$  

•  $\frac{1}{2\sqrt{x^3-1}}$  

•  $\frac{3x^2}{2\sqrt{x^3-1}}$  

• What ever Isaac Newton says