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

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

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

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

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derivative of

y = e^{3 x}

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

Solution steps

\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}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

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

2 3 x

\int x 16 - x^{2} d x

\frac{d}{d s} (\frac{s ^{2} - 4 s + 20}{s ^{2} + 6 s + 8})

\frac{d}{d x} ((x - 3)^{3} + 3 (x - 3)^{2} + 6)

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