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

The answer to (\partial)/(\partial x)(e^{ax}) is e^{ax}a

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

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

e^{a x} a

Solution steps

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

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (a x) = a

= e^{a x} a

f (x) = \frac{e ^{4 x}}{x ^{12}}

\int_{0}^{1} t^{3} d t

\int (x + 4) \cdot e^{x^{2} + 8 x} d x

x^{3} - 8

x (7^{- 3 x})

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