Q. 135.0( 1 Vote )

# Differentiate the following functions with respect to x: Let, y = We have to find dy/dx

As we can observe that y is a fraction of two functions say u and v where,

u = sin x – x cos x and v = x sin x + cos x

y = u/v

As we know that to find the derivative of fraction of two function we apply quotient rule of differentiation.

By quotient rule, we have – …equation 1

u = – (x cos x – sin x) Using algebra of derivatives –   {using product rule} …equation 2

As, v = x sin x + cos x Using algebra of derivatives –   {using product rule} …equation 3

from equation 1, we can find dy/dx using equation 2 and 3, we get –   Hence, Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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 