# If u, v and w are functions of x, then show thatin two ways – first by repeated application of product rule, second by logarithmic differentiation.

To prove:

Let y=u.v.w=u.(v.w)

(a) by applying product rule differentiate both sides with respect to x

(b) Taking log on both sides, we get

as, y=u.v.w

log y = log (u.v.w)

log y = log u + log v + log w

Now, differentiate both sides with respect to x

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Super 10 Question: Check Your Knowledge of Maxima & Minima (Quiz)45 mins
Maxima & Minima in an interval60 mins
Connection B/w Continuity & Differentiability59 mins
Questions Based on Maxima & Minima57 mins
Questions based on Maxima & Minima in an interval59 mins
Check your Knowlege of Maxima & Minima ( Challenging Quiz)60 mins
Problems Based on L-Hospital Rule (Quiz)0 mins
When does a Maxima or Minima occur?48 mins
Interactive Quiz | Differentiability by using first principle59 mins
Interactive Quiz on Limits67 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses