What is (\partial)/(\partial x)(e^{x/2}) ?

The answer to (\partial)/(\partial x)(e^{x/2}) is e^{x/2} 1/2

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(\partial)/(\partial x)(e^{x/2})

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

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What is (\partial)/(\partial x)(e^{x/2}) ?
The answer to (\partial)/(\partial x)(e^{x/2}) is e^{x/2} 1/2