0

Guest

Courses New

What is the number of critical points of f(x)=max(sinx,cosx) in the intervasl (-2π,2π)?

What is the number of critical points of f(x)=max(sinx,cosx) in  the intervasl (-2π,2π)?

Grade:10

1 Answers

Ajay
209 Points
7 years ago
First you need to draw graph for max (sinx, cosx ) as follows
Draw combined graphs of both sinx and cos x so that at some places graph of sin x will be higher and at other cosx will higher.
Take only the higher portion of graph and mark it bold. This will give you the graph of  f(x)=max(sinx,cosx).
Critical points are points on graph where the derivative is 0 or undefined.
Now you can easily check the points which are high or low (critical points). The number of such points comes out to be 7

Think You Can Provide A Better Answer ?

Other Related Questions on Differential Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More