What is the derivative of f(x)=e^{9sqrt(x)} ?

The derivative of f(x)=e^{9sqrt(x)} is (9e^{9sqrt(x)})/(2sqrt(x))

What is the first derivative of f(x)=e^{9sqrt(x)} ?

The first derivative of f(x)=e^{9sqrt(x)} is (9e^{9sqrt(x)})/(2sqrt(x))

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derivative of

f (x) = e^{9 x}

\frac{9 e ^{9 x}}{2 x}

Solution steps

\frac{d}{d x} (e^{9 x})

Apply the chain rule:

e^{9 x} \frac{d}{d x} (9 x)

= e^{9 x} \frac{d}{d x} (9 x)

\frac{d}{d x} (9 x) = \frac{9}{2 x}

= e^{9 x} \frac{9}{2 x}

Multiply fractions:

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

= \frac{9 e ^{9 x}}{2 x}

\frac{d}{d x} (e^{- x} \cdot cos (x))

\frac{1}{s ^{2} + s + 2}

n = 0 \sum \infty \frac{( 7 - 8 n )}{4 + 3 n}

\int - \frac{6}{x ^{2}} d x

5 x + 1, at x = 7

What is the derivative of f(x)=e^{9sqrt(x)} ?
The derivative of f(x)=e^{9sqrt(x)} is (9e^{9sqrt(x)})/(2sqrt(x))
What is the first derivative of f(x)=e^{9sqrt(x)} ?
The first derivative of f(x)=e^{9sqrt(x)} is (9e^{9sqrt(x)})/(2sqrt(x))