What is the derivative of e^{ax^5} ?

The derivative of e^{ax^5} is e^{ax^5}*5ax^4

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

The first derivative of e^{ax^5} is e^{ax^5}*5ax^4

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\frac{d}{d x} (e^{a x^{5}})

e^{a x^{5}} \cdot 5 a x^{4}

Solution steps

\frac{d}{d x} (e^{a x^{5}})

Apply the chain rule:

e^{a x^{5}} \frac{d}{d x} (a x^{5})

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

\frac{d}{d x} (a x^{5}) = 5 a x^{4}

= e^{a x^{5}} \cdot 5 a x^{4}

x \to 0 lim (2 x (1 - ln (x)))

\frac{d}{d x} (arcsin (x^{9}))

f (x) = 6 x^{2} - 4 x

\frac{\partial}{\partial x} (x (5 z^{4} - 4 y^{3}))

\frac{d}{d t} (4 e^{t} cos (t))

What is the derivative of e^{ax^5} ?
The derivative of e^{ax^5} is e^{ax^5}*5ax^4
What is the first derivative of e^{ax^5} ?
The first derivative of e^{ax^5} is e^{ax^5}*5ax^4