Q38 of 43 Page 12

Find the derivative of xn + axn – 1 + a2xn – 2 + …..+ an – 1x + an for some fixed number a.


f(x) = xn + axn – 1 + a2 + xn – 2+……+ an – 1x + an

Hence,

f’(x) = nxn – 1 = a(n – 1)xn – 2 + a2(n – 2) xn – 3 + ….+an – 1 + 0

      = nxn – 1 + a(n – 1) xn – 2 + a2(n – 2)xn – 3 +…..+ an – 1

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