What is the derivative of sqrt(10x) ?

The derivative of sqrt(10x) is (sqrt(5))/(sqrt(2)\sqrt{x)}

What is the first derivative of sqrt(10x) ?

The first derivative of sqrt(10x) is (sqrt(5))/(sqrt(2)\sqrt{x)}

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derivative of

10 x

\frac{5}{2 x}

Solution steps

\frac{d}{d x} (10 x)

Apply the chain rule:

\frac{1}{2 10 x} \frac{d}{d x} (10 x)

= \frac{1}{2 10 x} \frac{d}{d x} (10 x)

\frac{d}{d x} (10 x) = 10

= \frac{1}{2 10 x} \cdot 10

Simplify

\frac{1}{2 10 x} \cdot 10 : \frac{5}{2 x}

= \frac{5}{2 x}

What is the derivative of sqrt(10x) ?
The derivative of sqrt(10x) is (sqrt(5))/(sqrt(2)\sqrt{x)}
What is the first derivative of sqrt(10x) ?
The first derivative of sqrt(10x) is (sqrt(5))/(sqrt(2)\sqrt{x)}