Find the derivative of \(\rm \frac {1}{3x^2}\) w.r.t x ?

Question

Question

Answer 1

Concept:

\(\rm \frac{dx^n}{dx} = nx^{n-1}\)

Calculation:

We have to find a derivative of \(\rm \frac {1}{3x^2}\)

Let y = \(\rm \frac {1}{3x^2}\)

Differentiating with respect of x, we get

\(\rm \frac{dy}{dx} = \frac{d(\frac{1}{3x^2})}{dx}=\frac{1}{3}\frac{d(x^{-2})}{dx} \\=\frac{1}{3} \times -2 \times x^{-2-1}\\=\frac{-2}{3x^3}\)