Question

find the derivative of (fx) =x² using first principle​

Answer 1

$\huge\underline\mathcal\red{Answer}$

Question:-

find the derivative of (fx) =x² using first principle

simplify:-

First principle

:- lim h→⁰ hf (x+h) −f (x) / hh

:- lim h→⁰ h (x+h)² − x² / h

:- lim h→⁰ x²+ 2xh + h² −x²

:- lim h→⁰h (2x+h) / h

:- lim h→⁰ 2x + h = 2x

Answer:-

:- lim h→⁰ 2x + h = 2x

$\huge\underline\mathcal\red{hence}$$\huge\underline\mathcal\blue{Verified}$