What is the first derivative of e^5x ?

The first derivative of e^5x is e^5

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derivative of e^5x

derivative of

e^{5} x

e^{5}

Decimal

148.41315 \dots

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

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

= e^{5} \cdot 1

Simplify

= e^{5}