Q. 3 C4.0( 28 Votes )

# Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be:

h(x) = sin x + cos x,

h’(x) = cosx - sinx

Now, h’(x) = 0

cosx - sinx = 0

cosx = sinx

tanx = 1

h’’(x) = -sinx – cosx = -(sinx + cosx)

Then, by second derivative test,

is point of local maxima and local minima of h at is

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
How to find Maxima & Minima?43 mins
Practise Questions - Application of Derivatives45 mins
Interactive quizz on tangent and normal, maxima and minima43 mins
Interactive quiz on maxima and minima48 mins
Tangents & Normals (Concept Builder Class)55 mins
Test your knowledge of Tangents & Normals (Quiz)52 mins
Tangent & Normal To A Curve53 mins
Application of Biotechnology48 mins
Application of Biotechnology | Concepts - 0256 mins
Application of Nerst Equation20 mins
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