What is the derivative of e^{ax^8} ?

The derivative of e^{ax^8} is e^{ax^8}*8ax^7

What is the first derivative of e^{ax^8} ?

The first derivative of e^{ax^8} is e^{ax^8}*8ax^7

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\frac{d}{d x} (e^{a x^{8}})

e^{a x^{8}} \cdot 8 a x^{7}

Solution steps

\frac{d}{d x} (e^{a x^{8}})

Apply the chain rule:

e^{a x^{8}} \frac{d}{d x} (a x^{8})

= e^{a x^{8}} \frac{d}{d x} (a x^{8})

\frac{d}{d x} (a x^{8}) = 8 a x^{7}

= e^{a x^{8}} \cdot 8 a x^{7}

f (x) = - \frac{4 x}{x ^{2} + 1}, at x = - 1

t \to 0 lim (\frac{t ^{3} - 3 t}{t})

\frac{d}{d x} ((4 x - 3)^{3})

\frac{\partial}{\partial y} (10 x^{\frac{1}{4}} y^{\frac{3}{4}})

n = 1 \sum \infty \frac{1}{n + e ^{n}}

What is the derivative of e^{ax^8} ?
The derivative of e^{ax^8} is e^{ax^8}*8ax^7
What is the first derivative of e^{ax^8} ?
The first derivative of e^{ax^8} is e^{ax^8}*8ax^7