What is the derivative of f(x)=(2)(e^{3sqrt(x)}) ?

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

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

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

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derivative of

f (x) = (2) (e^{3 x})

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

Solution steps

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

Take the constant out:

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

= 2 \frac{d}{d x} (e^{3 x})

Apply the chain rule:

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

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

\frac{d}{d x} (3 x) = \frac{3}{2 x}

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

Simplify

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

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

\frac{d}{d x} (- ∣ x ∣)

(3 x + 1)^{2}

\int sin (5 x) sin (x) d x

\int (4 cos (x) + 3 x^{2} + 2 sin (x)) d x

4 y^{^{''}} - 12 y^{^{'}} + 9 y = 0

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