Question

find the derivative from first principle : (i) x + 1/x​

Answer 1

Step-by-step explanation:

We have,

$\rm \: \dfrac{d}{dx} \bigg( x+\dfrac{1}{x} \bigg)$

$\rm \: \dfrac{d}{dx} \bigg( x+x^{-1} \bigg)$

$\rm = (1+(-1)x^{-2})$

$\rm = \bigg( 1 - \dfrac{1}{x^2} \bigg)$