What is the derivative of (8x+e^{-x^2}^3) ?

The derivative of (8x+e^{-x^2}^3) is 3(8x+e^{-x^2})^2(8-2e^{-x^2}x)

What is the first derivative of (8x+e^{-x^2}^3) ?

The first derivative of (8x+e^{-x^2}^3) is 3(8x+e^{-x^2})^2(8-2e^{-x^2}x)

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\frac{d}{d x} ((8 x + e^{- x^{2}})^{3})

3 (8 x + e^{- x^{2}})^{2} (8 - 2 e^{- x^{2}} x)

Solution steps

\frac{d}{d x} ((8 x + e^{- x^{2}})^{3})

Apply the chain rule:

3 (8 x + e^{- x^{2}})^{2} \frac{d}{d x} (8 x + e^{- x^{2}})

= 3 (8 x + e^{- x^{2}})^{2} \frac{d}{d x} (8 x + e^{- x^{2}})

\frac{d}{d x} (8 x + e^{- x^{2}}) = 8 - 2 e^{- x^{2}} x

= 3 (8 x + e^{- x^{2}})^{2} (8 - 2 e^{- x^{2}} x)

f (x) = \frac{6}{x ^{3}}

\frac{d y}{d x} = \frac{11 x}{y}

\frac{d}{d x} (arctan (- \frac{x}{2}))

\frac{d ^{2}}{d x ^{2}} (x^{5})

x \to 0 lim (0^{x})

What is the derivative of (8x+e^{-x^2}^3) ?
The derivative of (8x+e^{-x^2}^3) is 3(8x+e^{-x^2})^2(8-2e^{-x^2}x)
What is the first derivative of (8x+e^{-x^2}^3) ?
The first derivative of (8x+e^{-x^2}^3) is 3(8x+e^{-x^2})^2(8-2e^{-x^2}x)