Answer :

We have, f(x) = sin x – cos x


Differentiate w.r.t x, we get,


f ‘(x) = cos x + sin x


For, the point of local maxima and minima,


f ’(x) = 0


= cos x = – sin x => tan x = – 1 = x =


Again differentiate w.r.t x


f ’’(x) = – sin x + cos x


f ”= – sin + cos = –


f ”= – sin + cos = –


Therefore, by second derivative test, x = is a point of local maxima and the local maximum of f at x = is


F” = sin – cos =


F” = sin – cos =


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
caricature
view all courses
RELATED QUESTIONS :

If the sum of theMathematics - Board Papers

A metal box with Mathematics - Board Papers

Show that aRD Sharma - Volume 1

Find the local maMathematics - Board Papers

Prove that the seMathematics - Board Papers

Prove that the raMathematics - Board Papers

Prove that the leMathematics - Board Papers