What is the derivative of 3e^{sqrt(x)} ?

The derivative of 3e^{sqrt(x)} is (3e^{sqrt(x)})/(2sqrt(x))

What is the first derivative of 3e^{sqrt(x)} ?

The first derivative of 3e^{sqrt(x)} is (3e^{sqrt(x)})/(2sqrt(x))

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

\frac{3 e ^{x}}{2 x}

Solution steps

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

Take the constant out:

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

= 3 \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}

= 3 e^{x} \frac{1}{2 x}

Simplify

3 e^{x} \frac{1}{2 x} : \frac{3 e ^{x}}{2 x}

= \frac{3 e ^{x}}{2 x}

\int e^{\frac{x}{a}} d x

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

\int \frac{1}{x x + 9} d x

y^{^{''}} + 10 y^{^{'}} + 25 y = 0

\frac{\partial}{\partial x} (1, 1, - 2)

What is the derivative of 3e^{sqrt(x)} ?
The derivative of 3e^{sqrt(x)} is (3e^{sqrt(x)})/(2sqrt(x))
What is the first derivative of 3e^{sqrt(x)} ?
The first derivative of 3e^{sqrt(x)} is (3e^{sqrt(x)})/(2sqrt(x))