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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derivative of

2 \cdot 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}

\frac{d}{d x} (3 cos (x) - 2 sin (x))

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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))