What is the first derivative of e^6x ?

The first derivative of e^6x is e^6

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derivative of e^6x

derivative of

e^{6} x

e^{6}

Decimal

403.42879 \dots

Solution steps

\frac{d}{d x} (e^{6} x)

Take the constant out:

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

= e^{6} \frac{d x}{d x}

Apply the common derivative:

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

= e^{6} \cdot 1

Simplify

= e^{6}

d er i v a t i v e y = 7 x^{3} + 2 x^{2} + 4 x

d er i v a t i v e ln ((1 + 3 x)^{2})

d er i v a t i v e \frac{3}{x ^{2} + 2}

d er i v a t i v e \frac{3 x}{5}

\frac{d}{d r} (\frac{1}{2 r ( a + b + c )})