What is the (e^{x^3})^' ?

The (e^{x^3})^' is e^{x^3}*3x^2

What is the first (e^{x^3})^' ?

The first (e^{x^3})^' is e^{x^3}*3x^2

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(e^{x^{3}})^{^{'}}

e^{x^{3}} \cdot 3 x^{2}

Solution steps

(e^{x^{3}})^{'}

Apply the chain rule:

e^{x^{3}} (x^{3})^{'}

= e^{x^{3}} (x^{3})^{'}

(x^{3})^{'} = 3 x^{2}

= e^{x^{3}} \cdot 3 x^{2}

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