What is (\partial)/(\partial x)(e^{ax^3}) ?

The answer to (\partial)/(\partial x)(e^{ax^3}) is e^{ax^3}*3ax^2

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(\partial)/(\partial x)(e^{ax^3})

\frac{\partial}{\partial x} (e^{a x^{3}})

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

Solution steps

\frac{\partial}{\partial x} (e^{a x^{3}})

Apply the chain rule:

e^{a x^{3}} \frac{\partial}{\partial x} (a x^{3})

= e^{a x^{3}} \frac{\partial}{\partial x} (a x^{3})

\frac{\partial}{\partial x} (a x^{3}) = 3 a x^{2}

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

What is (\partial)/(\partial x)(e^{ax^3}) ?
The answer to (\partial)/(\partial x)(e^{ax^3}) is e^{ax^3}*3ax^2