
Ex 13.2 (Term 2)
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
Last updated at May 29, 2018 by Teachoo
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