What is the derivative of e^{x/5} ?

The derivative of e^{x/5} is e^{x/5} 1/5

What is the first derivative of e^{x/5} ?

The first derivative of e^{x/5} is e^{x/5} 1/5

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derivative

e^{\frac{x}{5}} \frac{1}{5}

Solution steps

\frac{d}{d x} (e^{\frac{x}{5}})

Apply the chain rule:

e^{\frac{x}{5}} \frac{d}{d x} (\frac{x}{5})

= e^{\frac{x}{5}} \frac{d}{d x} (\frac{x}{5})

\frac{d}{d x} (\frac{x}{5}) = \frac{1}{5}

= e^{\frac{x}{5}} \frac{1}{5}

What is the derivative of e^{x/5} ?
The derivative of e^{x/5} is e^{x/5} 1/5
What is the first derivative of e^{x/5} ?
The first derivative of e^{x/5} is e^{x/5} 1/5