What is the derivative of sqrt(20x) ?

The derivative of sqrt(20x) is sqrt(5/x)

What is the first derivative of sqrt(20x) ?

The first derivative of sqrt(20x) is sqrt(5/x)

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\frac{d}{d x} (20 x)

\frac{5}{x}

Solution steps

\frac{d}{d x} (20 x)

Apply the chain rule:

\frac{1}{2 20 x} \frac{d}{d x} (20 x)

= \frac{1}{2 20 x} \frac{d}{d x} (20 x)

\frac{d}{d x} (20 x) = 20

= \frac{1}{2 20 x} \cdot 20

Simplify

\frac{1}{2 20 x} \cdot 20 : \frac{5}{x}

= \frac{5}{x}

What is the derivative of sqrt(20x) ?
The derivative of sqrt(20x) is sqrt(5/x)
What is the first derivative of sqrt(20x) ?
The first derivative of sqrt(20x) is sqrt(5/x)