What is the derivative of e^{ax^6} ?

The derivative of e^{ax^6} is e^{ax^6}*6ax^5

What is the first derivative of e^{ax^6} ?

The first derivative of e^{ax^6} is e^{ax^6}*6ax^5

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\frac{d}{d x} (e^{a x^{6}})

e^{a x^{6}} \cdot 6 a x^{5}

Solution steps

\frac{d}{d x} (e^{a x^{6}})

Apply the chain rule:

e^{a x^{6}} \frac{d}{d x} (a x^{6})

= e^{a x^{6}} \frac{d}{d x} (a x^{6})

\frac{d}{d x} (a x^{6}) = 6 a x^{5}

= e^{a x^{6}} \cdot 6 a x^{5}

f (x) = (x)^{3} \cdot e^{(3 x)}

2 y^{2} = \frac{d y}{d x}

\int_{1}^{e} \frac{( x ^{2} - 1 )}{x} d x

\frac{d}{d t} (e^{- 2 t})

What is the derivative of e^{ax^6} ?
The derivative of e^{ax^6} is e^{ax^6}*6ax^5
What is the first derivative of e^{ax^6} ?
The first derivative of e^{ax^6} is e^{ax^6}*6ax^5