What is the derivative of e^{x/2} ?

The derivative of e^{x/2} is e^{x/2} 1/2

What is the first derivative of e^{x/2} ?

The first derivative of e^{x/2} is e^{x/2} 1/2

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

What is the derivative of e^{x/2} ?
The derivative of e^{x/2} is e^{x/2} 1/2
What is the first derivative of e^{x/2} ?
The first derivative of e^{x/2} is e^{x/2} 1/2