What is the derivative of sqrt(18x) ?

The derivative of sqrt(18x) is 3/(sqrt(2)\sqrt{x)}

What is the first derivative of sqrt(18x) ?

The first derivative of sqrt(18x) is 3/(sqrt(2)\sqrt{x)}

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derivative of

18 x

\frac{3}{2 x}

Solution steps

\frac{d}{d x} (18 x)

Apply the chain rule:

\frac{1}{2 18 x} \frac{d}{d x} (18 x)

= \frac{1}{2 18 x} \frac{d}{d x} (18 x)

\frac{d}{d x} (18 x) = 18

= \frac{1}{2 18 x} \cdot 18

Simplify

\frac{1}{2 18 x} \cdot 18 : \frac{3}{2 x}

= \frac{3}{2 x}

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What is the derivative of sqrt(18x) ?
The derivative of sqrt(18x) is 3/(sqrt(2)\sqrt{x)}
What is the first derivative of sqrt(18x) ?
The first derivative of sqrt(18x) is 3/(sqrt(2)\sqrt{x)}