What is the derivative of sqrt(3x) ?

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

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

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

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derivative of

3 x

\frac{3}{2 x}

Solution steps

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

Apply the chain rule:

\frac{1}{2 3 x} \frac{d}{d x} (3 x)

= \frac{1}{2 3 x} \frac{d}{d x} (3 x)

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

= \frac{1}{2 3 x} \cdot 3

Simplify

\frac{1}{2 3 x} \cdot 3 : \frac{3}{2 x}

= \frac{3}{2 x}

\int \frac{1}{z ^{2} - 1} d z

f (x) = (6 x^{2} - 10 x) e^{x}

\int (sec^{2} (θ) + 5) d θ

\frac{d y}{d x} + y^{9} x + 7 y = 0

\int \frac{2 x ^{2} + 3}{x ^{3}} d x

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