A community for students.
Here's the question you clicked on:
 0 viewing
AravindG
 2 years ago
find local maxima and local minima for the function f(x)=sin xcos x
0<x<2
AravindG
 2 years ago
find local maxima and local minima for the function f(x)=sin xcos x 0<x<2

This Question is Closed

uzumakhi
 2 years ago
Best ResponseYou've already chosen the best response.0for this you have to find f'(x)

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.0ok ....cos x + sin x then?

uzumakhi
 2 years ago
Best ResponseYou've already chosen the best response.0cos x + sin x = 0 cos x = sinx

uzumakhi
 2 years ago
Best ResponseYou've already chosen the best response.0no we have to take the value from 0 to 2

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0if x is between 0 to 2pi, then x= 3pi/4 is correct.

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.0k then hw we find local maxima and local minima ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0local only means 'in that interval' , here 0 to 2pi

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.0so what are maxima and minima here ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0so here u'll have only one value , at x=3pi/4 find f(x) when x=3pi/4

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.0also at x=7pi/4 we have only one value so f'(X)= ives 2 values for x isnt it?

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.0f'(X)=0 gives 2 values for x isnt it?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0oh yes! i missed that. now its even simpler..... find the second derivate, what u get ?

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.0whats the use of taking second derivative ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0to know which point is max. or min. , u know how ?

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.0is it by substituting 3pi/4 and 7pi/4 in f''(X) and getting the sign to tell which is maxima and minima?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0yes, if f''(x) > 0 , then max or min ?

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.03pi/4 is max other is minima !!

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.0can u check up the answer for the next qn also ?

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.0i will post separately
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.