What is the derivative of e^{2sqrt(x)} ?

The derivative of e^{2sqrt(x)} is (e^{2sqrt(x)})/(sqrt(x))

What is the first derivative of e^{2sqrt(x)} ?

The first derivative of e^{2sqrt(x)} is (e^{2sqrt(x)})/(sqrt(x))

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\frac{d}{d x} (e^{2 x})

\frac{e ^{2 x}}{x}

Solution steps

\frac{d}{d x} (e^{2 x})

Apply the chain rule:

e^{2 x} \frac{d}{d x} (2 x)

= e^{2 x} \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = \frac{1}{x}

= e^{2 x} \frac{1}{x}

Simplify

e^{2 x} \frac{1}{x} : \frac{e ^{2 x}}{x}

= \frac{e ^{2 x}}{x}

\frac{d}{d x} ((x^{3} - 3 x^{2} + 1)^{- 3})

x^{3} - 9 x^{2} + 10 x, at = - 2

n = 0 \sum \infty \frac{x ^{n}}{n 3 ^{n}}

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

\frac{\partial}{\partial x} (sin (3 x) cos (3 y))

What is the derivative of e^{2sqrt(x)} ?
The derivative of e^{2sqrt(x)} is (e^{2sqrt(x)})/(sqrt(x))
What is the first derivative of e^{2sqrt(x)} ?
The first derivative of e^{2sqrt(x)} is (e^{2sqrt(x)})/(sqrt(x))