What is the derivative of e^{ax^4} ?

The derivative of e^{ax^4} is e^{ax^4}*4ax^3

What is the first derivative of e^{ax^4} ?

The first derivative of e^{ax^4} is e^{ax^4}*4ax^3

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\frac{d}{d x} (e^{a x^{4}})

e^{a x^{4}} \cdot 4 a x^{3}

Solution steps

\frac{d}{d x} (e^{a x^{4}})

Apply the chain rule:

e^{a x^{4}} \frac{d}{d x} (a x^{4})

= e^{a x^{4}} \frac{d}{d x} (a x^{4})

\frac{d}{d x} (a x^{4}) = 4 a x^{3}

= e^{a x^{4}} \cdot 4 a x^{3}

\int_{0}^{1} cos (2 x) d x

\frac{\partial}{\partial y} (\frac{5}{2} x^{2} + 4 x y)

\int \frac{t}{1 - t ^{8}} d t

\frac{\partial}{\partial x} ((x - y)^{10})

x^{4}, x^{2}

What is the derivative of e^{ax^4} ?
The derivative of e^{ax^4} is e^{ax^4}*4ax^3
What is the first derivative of e^{ax^4} ?
The first derivative of e^{ax^4} is e^{ax^4}*4ax^3