Sarthaks Test
0 votes
ago in Derivatives by (22.9k points)
closed ago by

Differentiate the following functions with respect to x:

(x tan x)/(sec x + tan x)

1 Answer

+1 vote
ago by (22.3k points)
selected ago by
Best answer

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

u = x tan x and v = sec x + tan 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 –

∵ u is the product of two function x and tan x, so we will be applying product rule of differentiation –

∴ from equation 1, we can find dy/dx

Related questions

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.