What is the derivative of sqrt(9x^2) ?

The derivative of sqrt(9x^2) is 3

What is the first derivative of sqrt(9x^2) ?

The first derivative of sqrt(9x^2) is 3

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\frac{d}{d x} (9 x^{2})

3

Solution steps

\frac{d}{d x} (9 x^{2})

Apply the chain rule:

\frac{1}{2 9 x ^{2}} \frac{d}{d x} (9 x^{2})

= \frac{1}{2 9 x ^{2}} \frac{d}{d x} (9 x^{2})

\frac{d}{d x} (9 x^{2}) = 18 x

= \frac{1}{2 9 x ^{2}} \cdot 18 x

Simplify

\frac{1}{2 9 x ^{2}} \cdot 18 x : 3

= 3

What is the derivative of sqrt(9x^2) ?
The derivative of sqrt(9x^2) is 3
What is the first derivative of sqrt(9x^2) ?
The first derivative of sqrt(9x^2) is 3