What is the derivative of e^2x+1 ?

The derivative of e^2x+1 is e^2

What is the first derivative of e^2x+1 ?

The first derivative of e^2x+1 is e^2

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derivative of

e^{2} x + 1

e^{2}

Decimal

7.38905 \dots

Solution steps

\frac{d}{d x} (e^{2} x + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{2} x) + \frac{d}{d x} (1)

\frac{d}{d x} (e^{2} x) = e^{2}

\frac{d}{d x} (1) = 0

= e^{2} + 0

Simplify

= e^{2}