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

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

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

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

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

- 3 e^{- x^{3}} x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (2) = 0

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

= 0 - 3 e^{- x^{3}} x^{2}

Simplify

= - 3 e^{- x^{3}} x^{2}

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