What is the derivative of f(x)=sqrt(12x) ?

The derivative of f(x)=sqrt(12x) is sqrt(3/x)

What is the first derivative of f(x)=sqrt(12x) ?

The first derivative of f(x)=sqrt(12x) is sqrt(3/x)

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derivative of

f (x) = 12 x

\frac{3}{x}

Solution steps

\frac{d}{d x} (12 x)

Apply the chain rule:

\frac{1}{2 12 x} \frac{d}{d x} (12 x)

= \frac{1}{2 12 x} \frac{d}{d x} (12 x)

\frac{d}{d x} (12 x) = 12

= \frac{1}{2 12 x} \cdot 12

Simplify

\frac{1}{2 12 x} \cdot 12 : \frac{3}{x}

= \frac{3}{x}

What is the derivative of f(x)=sqrt(12x) ?
The derivative of f(x)=sqrt(12x) is sqrt(3/x)
What is the first derivative of f(x)=sqrt(12x) ?
The first derivative of f(x)=sqrt(12x) is sqrt(3/x)