What is the first derivative of e^4x ?

The first derivative of e^4x is e^4

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derivative of e^4x

derivative of

e^{4} x

e^{4}

Solution steps

\frac{d}{d x} (e^{4} x)

Take the constant out:

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

= e^{4} \frac{d x}{d x}

Apply the common derivative:

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

= e^{4} \cdot 1

Simplify

= e^{4}

4 sin^{2} (x^{2})

\frac{x ( x - 2 )}{( x - 1 ) ^{2}}

1^{x}

e^{\frac{1}{2}} x

(x^{x})^{2}