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

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

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

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

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derivative of

e^{x}

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

Solution steps

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

Apply the chain rule:

\frac{1}{2 e ^{x}} \frac{d}{d x} (e^{x})

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

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

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

Simplify

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

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

f (x) = \frac{x ^{3}}{6} + \frac{1}{2 x}

\frac{d}{d x} (\frac{1 + cos ( x )}{sin ( x )})

\frac{\partial}{\partial x} (3 x - 3 y^{2} + z^{2})

\int (x - e^{- x})^{2} d x

f (x) = \frac{x ^{2}}{x - 7}

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