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

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

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

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

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derivative of

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}

f (x) = 2 x^{2} - 4 x + 1

\int \frac{1}{x ^{\frac{5}{8}} - x ^{\frac{1}{8}}} d x

\int 31 arctan (x) d x

\int_{1}^{4} 3 x^{\frac{1}{3}} d x

\frac{d}{d x} (lo g_{2} (7 x^{2} + x - 2))

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