0

Guest

Courses New

find the n th derivative of ( x n-1 logx ) using leibnitz theorem

find the nth derivative of ( xn-1 logx ) using leibnitz theorem

Grade:12th pass

1 Answers

Vikas TU
14149 Points
6 years ago
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)

Think You Can Provide A Better Answer ?

Other Related Questions on Differential Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More