What is the derivative of e^{\sqrt[9]{x}} ?

The derivative of e^{\sqrt[9]{x}} is (e^{\sqrt[9]{x}})/(9x^{8/9)}

What is the first derivative of e^{\sqrt[9]{x}} ?

The first derivative of e^{\sqrt[9]{x}} is (e^{\sqrt[9]{x}})/(9x^{8/9)}

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

\frac{e ^{9 x}}{9 x ^{\frac{8}{9}}}

Solution steps

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

Apply the chain rule:

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

= e^{9 x} \frac{d}{d x} (9 x)

\frac{d}{d x} (9 x) = \frac{1}{9 x ^{\frac{8}{9}}}

= e^{9 x} \frac{1}{9 x ^{\frac{8}{9}}}

Simplify

e^{9 x} \frac{1}{9 x ^{\frac{8}{9}}} : \frac{e ^{9 x}}{9 x ^{\frac{8}{9}}}

= \frac{e ^{9 x}}{9 x ^{\frac{8}{9}}}

\int \frac{8 x ^{2} - 7 x + 8}{x ^{3} + 4 x} d x

y^{^{'}} - 2 y = 1

(lo g_{2} (x))^{^{'}}

e^{x^{2}} - 1, 0

x \to - 2 lim (8 - x^{3})

What is the derivative of e^{\sqrt[9]{x}} ?
The derivative of e^{\sqrt[9]{x}} is (e^{\sqrt[9]{x}})/(9x^{8/9)}
What is the first derivative of e^{\sqrt[9]{x}} ?
The first derivative of e^{\sqrt[9]{x}} is (e^{\sqrt[9]{x}})/(9x^{8/9)}