# Find dy/dx of the functions.xy + yx = 1

Given: xy + yx = 1

Let y= xy + yx = 1

Let u = xy and v = yx

Then, u + v = 1

For, u = xy

Taking log on both sides, we get

Log u =log xy

log u = y.log(x)

Now, differentiate both sides with respect to x

For, v = yx

Taking log on both sides, we get

Log v =log yx

log v = x.log(y)

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
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
Connection B/w Continuity & Differentiability59 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