What is (\partial)/(\partial x)(e^{x-1}) ?

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

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(\partial)/(\partial x)(e^{x-1})

\frac{\partial}{\partial x} (e^{x - 1})

e^{x - 1}

Solution steps

\frac{\partial}{\partial x} (e^{x - 1})

Apply the chain rule:

e^{x - 1} \frac{\partial}{\partial x} (x - 1)

= e^{x - 1} \frac{\partial}{\partial x} (x - 1)

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

= e^{x - 1} \cdot 1

Simplify

= e^{x - 1}

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