Ex 12.2, 8 - Chapter 12 Class 11 Limits and Derivatives
Last updated at May 7, 2024 by Teachoo
Derivatives by formula - x^n formula
Chapter 12 Class 11 Limits and Derivatives
Concept wise
- Limits - Definition
- Limits - 0/0 form
- Limits - x^n formula
- Limits - Of Trignometric functions
- Limits - Limit exists
- Derivatives by 1st principle - At a point
- Derivatives by 1st principle - At a general point
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Derivatives by formula - x^n formula
- Derivatives by formula - sin & cos
- Derivatives by formula - other trignometric
Transcript
Ex 12.2, 8 Find the derivative of xn a n x a for some constant a. We need to find derivative of xn an x a Let f(x) = xn a n x a Let u = xn an & v = x a f(x) = So, f (x) = f (x) = 2 Calculating u u = xn an Different w.r.t x u = (xn an) u = (xn) (an) u = nxn 1 0 u = nxn 1 Calculating v v = x a Different w. r. t x v = (x a) v = (x) (a) v = 1 0 v = 1 f (x) = f (x) = 2 = 1 1. ( ) 2 = 1 . 1 + ( ) 2 = 1+1 1 + ( ) 2 = 1 + ( ) 2 = 1 + ( ) 2 = ( ) + ( )
