Ex 13.2, 6 - Chapter 13 Class 11 Limits and Derivatives (Term 1 and Term 2)
Last updated at May 29, 2018 by Teachoo
Ex 13.2 (Term 2)
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Ex 13.2, 4 (i) Important
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Ex 13.2, 6 You are here
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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
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
