What is the derivative of e^{5sqrt(x)} ?

The derivative of e^{5sqrt(x)} is (5e^{5sqrt(x)})/(2sqrt(x))

What is the first derivative of e^{5sqrt(x)} ?

The first derivative of e^{5sqrt(x)} is (5e^{5sqrt(x)})/(2sqrt(x))

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derivative of

e^{5 x}

\frac{5 e ^{5 x}}{2 x}

Solution steps

\frac{d}{d x} (e^{5 x})

Apply the chain rule:

e^{5 x} \frac{d}{d x} (5 x)

= e^{5 x} \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = \frac{5}{2 x}

= e^{5 x} \frac{5}{2 x}

Multiply fractions:

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

= \frac{5 e ^{5 x}}{2 x}

x \to o lim (\frac{sin ( 3 x )}{x})

x \to 0 lim (\frac{tan ( 11 x )}{x})

\frac{d}{d x} (4 x + x^{2} cos (\frac{1}{x}))

t \to 0 lim (\frac{2}{t} - \frac{2}{t ^{2} - t})

y = sin (π - x)

What is the derivative of e^{5sqrt(x)} ?
The derivative of e^{5sqrt(x)} is (5e^{5sqrt(x)})/(2sqrt(x))
What is the first derivative of e^{5sqrt(x)} ?
The first derivative of e^{5sqrt(x)} is (5e^{5sqrt(x)})/(2sqrt(x))