Ex 13.2, 6 - Chapter 13 Class 11 Limits and Derivatives (Term 1 and Term 2)
Last updated at May 29, 2018 by Teachoo
Transcript
Ex 13.2, 6 Find the derivative of xn + axn-1 + a2xn-2+….+ an-1 x + an for some fixed real number a. Let f (x) = xn + axn – 1 + a2xn – 2+….+ an – 1 x + an (where a is constant) f’ (x) = xn + axn – 1 + a2xn – 2+….+ an – 1 x + an′ = n . xn – 1 + a(n – 1)x(n – 1) – 1 + a2 (n – 2)x (n – 2) – 1 + … …. + an – 1 . (1)x1 – 1 + 0 = nxn – 1 + a(n – 1)xn – 2 + a2 (n – 2)x n – 3 + … + an – 1 (1)(1) = nxn – 1 + a(n – 1)xn – 2 + a2 (n – 2)x n – 3 + … + an – 1 ∴ f’(x) = nxn – 1 + a(n – 1)xn – 2 + a2 (n – 2)x n – 3 + … + an – 1
Ex 13.2 (Term 2)
Ex 13.2, 1
Ex 13.2, 2
Ex 13.2, 3
Ex 13.2, 4 (i) Important
Ex 13.2, 4 (ii)
Ex 13.2, 4 (iii) Important
Ex 13.2, 4 (iv)
Ex 13.2, 5
Ex 13.2, 6 You are here
Ex 13.2, 7 (i) Important
Ex 13.2, 7 (ii)
Ex 13.2, 7 (iii) Important
Ex 13.2, 8
Ex 13.2, 9 (i)
Ex 13.2, 9 (ii) Important
Ex 13.2, 9 (iii)
Ex 13.2, 9 (iv) Important
Ex 13.2, 9 (v)
Ex 13.2, 9 (vi)
Ex 13.2, 10 Important
Ex 13.2, 11 (i)
Ex 13.2, 11 (ii) Important
Ex 13.2, 11 (iii) Important
Ex 13.2, 11 (iv)
Ex 13.2, 11 (v) Important
Ex 13.2, 11 (vi)
Ex 13.2, 11 (vii) Important
Chapter 13 Class 11 Limits and Derivatives (Term 1 and Term 2)
Serial order wise
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.