What is the first derivative of e-x ?

The first derivative of e-x is -1

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derivative of e-x

\frac{d}{d x} (e - x)

- 1

Solution steps

\frac{d}{d x} (e - x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d e}{d x} - \frac{d x}{d x}

\frac{d e}{d x} = 0

\frac{d x}{d x} = 1

= 0 - 1

Simplify

= - 1

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