What is the derivative of f(x)=sqrt(24x) ?

The derivative of f(x)=sqrt(24x) is sqrt(6/x)

What is the first derivative of f(x)=sqrt(24x) ?

The first derivative of f(x)=sqrt(24x) is sqrt(6/x)

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derivative of

f (x) = 24 x

\frac{6}{x}

Solution steps

\frac{d}{d x} (24 x)

Apply the chain rule:

\frac{1}{2 24 x} \frac{d}{d x} (24 x)

= \frac{1}{2 24 x} \frac{d}{d x} (24 x)

\frac{d}{d x} (24 x) = 24

= \frac{1}{2 24 x} \cdot 24

Simplify

\frac{1}{2 24 x} \cdot 24 : \frac{6}{x}

= \frac{6}{x}

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What is the derivative of f(x)=sqrt(24x) ?
The derivative of f(x)=sqrt(24x) is sqrt(6/x)
What is the first derivative of f(x)=sqrt(24x) ?
The first derivative of f(x)=sqrt(24x) is sqrt(6/x)