What is the derivative of f(x)=sqrt(21x) ?

The derivative of f(x)=sqrt(21x) is (sqrt(21))/(2sqrt(x))

What is the first derivative of f(x)=sqrt(21x) ?

The first derivative of f(x)=sqrt(21x) is (sqrt(21))/(2sqrt(x))

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derivative

\frac{21}{2 x}

Solution steps

\frac{d}{d x} (21 x)

Apply the chain rule:

\frac{1}{2 21 x} \frac{d}{d x} (21 x)

= \frac{1}{2 21 x} \frac{d}{d x} (21 x)

\frac{d}{d x} (21 x) = 21

= \frac{1}{2 21 x} \cdot 21

Simplify

\frac{1}{2 21 x} \cdot 21 : \frac{21}{2 x}

= \frac{21}{2 x}

What is the derivative of f(x)=sqrt(21x) ?
The derivative of f(x)=sqrt(21x) is (sqrt(21))/(2sqrt(x))
What is the first derivative of f(x)=sqrt(21x) ?
The first derivative of f(x)=sqrt(21x) is (sqrt(21))/(2sqrt(x))