What is the derivative of (2(e^{3sqrt(x)})) ?

The derivative of (2(e^{3sqrt(x)})) is (3e^{3sqrt(x)})/(sqrt(x))

What is the first derivative of (2(e^{3sqrt(x)})) ?

The first derivative of (2(e^{3sqrt(x)})) is (3e^{3sqrt(x)})/(sqrt(x))

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\frac{d}{d x} ((2) (e^{3 x}))

\frac{3 e ^{3 x}}{x}

Solution steps

\frac{d}{d x} ((2) (e^{3 x}))

Take the constant out:

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

= 2 \frac{d}{d x} (e^{3 x})

Apply the chain rule:

e^{3 x} \frac{d}{d x} (3 x)

= e^{3 x} \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x) = \frac{3}{2 x}

= 2 e^{3 x} \frac{3}{2 x}

Simplify

2 e^{3 x} \frac{3}{2 x} : \frac{3 e ^{3 x}}{x}

= \frac{3 e ^{3 x}}{x}

\int_{0}^{1} t^{2} cos (nπ t) d t

\frac{d y}{d x} = sin^{2} (x)

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

\frac{d}{d x} (\frac{3}{( x + 2 ) ^{2}})

y^{^{'}} = e^{4 x} - 3 x

What is the derivative of (2(e^{3sqrt(x)})) ?
The derivative of (2(e^{3sqrt(x)})) is (3e^{3sqrt(x)})/(sqrt(x))
What is the first derivative of (2(e^{3sqrt(x)})) ?
The first derivative of (2(e^{3sqrt(x)})) is (3e^{3sqrt(x)})/(sqrt(x))