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

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

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

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

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derivative of

e^{x}

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int 3 x x d x

\frac{d}{d x} (x - arctan (x))

\frac{\partial}{\partial x} (ln (x^{2} + y))

\int \frac{2 + u}{u} d u

y = x^{3} (3 - x^{2})

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