What is the derivative of 2sqrt(3x) ?

The derivative of 2sqrt(3x) is sqrt(3/x)

What is the first derivative of 2sqrt(3x) ?

The first derivative of 2sqrt(3x) is sqrt(3/x)

derivative of

2 3 x

\frac{3}{x}

Solution steps

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

Simplify

2 3 x : 23 x

= \frac{d}{d x} (23 x)

Take the constant out:

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

= 23 \frac{d}{d x} (x)

Apply radical rule:

a = a^{\frac{1}{2}}

= 23 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 23 \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

23 \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{3}{x}

= \frac{3}{x}

\int x 16 - x^{2} d x

\frac{d}{d s} (\frac{s ^{2} - 4 s + 20}{s ^{2} + 6 s + 8})

\frac{d}{d x} ((x - 3)^{3} + 3 (x - 3)^{2} + 6)

\int \frac{4 x ^{4} + x + 1}{x ^{5} + x ^{4}} d x

d er i v a t i v e ln (225 sin^{2} (x))

What is the derivative of 2sqrt(3x) ?
The derivative of 2sqrt(3x) is sqrt(3/x)
What is the first derivative of 2sqrt(3x) ?
The first derivative of 2sqrt(3x) is sqrt(3/x)