Home
Class 11
MATHS
Find the derivative of y=x^2 using the f...

Find the derivative of `y=x^2` using the first principle.

Text Solution

Verified by Experts

We have, `f^(.)(x) = lim_(h rarr 0) (f(x+h)-f(x))/h = lim_(h rarr 0) ((x+h)^(2)-(x)^(2))/h = lim_(h rarr 0) (h +2x)=2x`
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise Question Bank|45 Videos

  • LINEAR INEQUALITIES

    V PUBLICATION|Exercise QUESTIONBANK|95 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of y=sinx from the first principle.

Find the derivatives of f(x)=sin x using the first principle.

Find the derivative of y=cos x from the first principle.

Find the derivative of y=1/x from the first principle.

Find the derivative of f(x)=sinx from the first principle.

Find the derivative of tan x using first principle.

Find the derivative of y=(ax^2+b)^2

Find the derivative of y=(sin x)/x

Find the derivative of y=e^(2x+logx)

(a)Find the derivative of sin x+cos x from first principle