Grade 12th passDifferential Calculus
find the nth derivative of ( xn-1 logx ) using leibnitz theorem
find the nth derivative of ( xn-1 logx ) using leibnitz theorem
1 Answer
Vikas TU
Dear Student,
F1n-1 = xn-2 + (n-1)xn-2logx
= xn-2 + (n-1)Fn-2
differentiate again to get:
F2n-1 = (n-2)xn-3 + (n-1) xn-3 +(n-1)(n-2)Fn-3
similarly we can say that,
Fnn-1 = (n-1)(n-2)(n-3) ........3.2.1 xn-n
=(n-1)! [Ans]
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)
Thapar University)
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