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

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

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

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

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derivative of

(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 y}{d x}, x^{2} + x y + y^{2} = 7

\int_{0}^{\frac{π}{3}} 2 sec^{2} (x) d x

f (x) = x + 3, g (x) = \frac{1}{2} x + 3

\int_{0}^{5} \frac{1}{( 5 - x ) ^{\frac{1}{3}}} d x

3 x^{4} - 7 ln (x)

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