What is the derivative of e^{x/4} ?

The derivative of e^{x/4} is e^{x/4} 1/4

What is the first derivative of e^{x/4} ?

The first derivative of e^{x/4} is e^{x/4} 1/4

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\frac{d}{d x} (e^{\frac{x}{4}})

e^{\frac{x}{4}} \frac{1}{4}

Solution steps

\frac{d}{d x} (e^{\frac{x}{4}})

Apply the chain rule:

e^{\frac{x}{4}} \frac{d}{d x} (\frac{x}{4})

= e^{\frac{x}{4}} \frac{d}{d x} (\frac{x}{4})

\frac{d}{d x} (\frac{x}{4}) = \frac{1}{4}

= e^{\frac{x}{4}} \frac{1}{4}

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What is the derivative of e^{x/4} ?
The derivative of e^{x/4} is e^{x/4} 1/4
What is the first derivative of e^{x/4} ?
The first derivative of e^{x/4} is e^{x/4} 1/4