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

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

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

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

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

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

\frac{d}{d x} (x) = \frac{1}{2 x}

= 9 e^{x} \frac{1}{2 x}

Simplify

9 e^{x} \frac{1}{2 x} : \frac{9 e ^{x}}{2 x}

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

x \to 0 lim (\frac{2 ^{x} - 5 ^{x}}{x})

\frac{d}{d x} (2 x^{3} - 3 x^{2})

\int (\frac{9}{x} + \frac{x}{9}) d x

y = - 2 x + 2

\int (- 20 x^{3} - 6 x^{- 3}) d x

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