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

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

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

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

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derivative of

f (x) = 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 sin (4 x) cos (6 x) d x

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

- 0.01549944 x^{2} + 0.287342 x

\frac{d}{d x} (\frac{10 x + 8 x ^{2}}{( 5 + 8 x ) ^{2}})

\frac{s}{s + 1}

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