LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
in Mathematics by (31.8k points)
closed by

If y = log(cosex), then dy/dx is :

(a) cos ex−1

(b) e-x cos ex

(c) ex sin ex 

(d) − ex tanex

1 Answer

+1 vote
by (31.8k points)
selected by
Best answer

Option : (d)

y = log(cosex

Differentiating wrt x :

\(\frac{dy}{dx}\) \(\frac{1}{cos(e^x)}.\) (-sin ex) . e(chain rule)

⇒ \(\frac{dy}{dx}\) = −ex tan ex

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.