What is the derivative of e^{7sqrt(x)} ?

The derivative of e^{7sqrt(x)} is (7e^{7sqrt(x)})/(2sqrt(x))

What is the first derivative of e^{7sqrt(x)} ?

The first derivative of e^{7sqrt(x)} is (7e^{7sqrt(x)})/(2sqrt(x))

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derivative of

e^{7 x}

\frac{7 e ^{7 x}}{2 x}

Solution steps

\frac{d}{d x} (e^{7 x})

Apply the chain rule:

e^{7 x} \frac{d}{d x} (7 x)

= e^{7 x} \frac{d}{d x} (7 x)

\frac{d}{d x} (7 x) = \frac{7}{2 x}

= e^{7 x} \frac{7}{2 x}

Multiply fractions:

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

= \frac{7 e ^{7 x}}{2 x}

f (x) = ln (324 sin^{2} (x))

\int e^{- 9 t} d t

f (x) = \frac{5 x}{x + 2}, at x = 3

\int_{0}^{1} e^{t} d t

\int p (p + 8)^{5} d p

What is the derivative of e^{7sqrt(x)} ?
The derivative of e^{7sqrt(x)} is (7e^{7sqrt(x)})/(2sqrt(x))
What is the first derivative of e^{7sqrt(x)} ?
The first derivative of e^{7sqrt(x)} is (7e^{7sqrt(x)})/(2sqrt(x))