Question

find the derivative of 2x​

Answer 1

We know:

Differentiation formula 》

$y = {x}^{n}$

$= > \frac{dy}{dx} = {nx}^{n - 1}$

In this way,

$y = 2 {x}^{1}$

$= > \frac{dy}{dx} = 2.1. {x}^{1 - 1}$

$= > \frac{dy}{dx} = 2. {x}^{0}$

$= > \frac{dy}{dx} = 2$

As, x⁰=1

Hence, derivative of 2x is 2.