What is the first derivative of e^x+c ?

The first derivative of e^x+c is e^x

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derivative of e^x+c

\frac{d}{d x} (e^{x} + c)

e^{x}

Solution steps

\frac{d}{d x} (e^{x} + c)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{x}) + \frac{d c}{d x}

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

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

= e^{x} + 0

Simplify

= e^{x}

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