0 votes
in Trigonometry by (102 points)
edited by

Find the derivative w = siny cos4y.

Please log in or register to answer this question.

1 Answer

0 votes
by (45.9k points)

W = sin4y cos4y

\(\frac{dW}{dy}\) = sin4\(\frac{d}{dy}\) cos4y + (\(\frac{d}{dy}\) sin4y) cos4y

 = -4 sin4y cos3y sin y + 4 sin3y cos y cos4y

 = 4 sin3y cos3y (cos2y - sin2y)

 = 4 sin3y cos3y cos 2y

No related questions found

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.