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

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

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

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

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derivative of

y = 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^{3} - 8 x^{2}

\int_{- 1}^{1} (1 - x^{2}) d x

f (x) = x^{2} x - 5 x

\frac{d}{d x} (3 e^{\frac{x}{4}})

x^{2} - 2 x + 3

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