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AravindG
 3 years ago
find local maxima and local minima for the function f(x)=sin xcos x
0<x<2
AravindG
 3 years ago
find local maxima and local minima for the function f(x)=sin xcos x 0<x<2

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

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

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

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

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

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

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

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

hartnn
 3 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
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0f'(X)=0 gives 2 values for x isnt it?

hartnn
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0whats the use of taking second derivative ?

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

AravindG
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0yes, if f''(x) > 0 , then max or min ?

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

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

AravindG
 3 years ago
Best ResponseYou've already chosen the best response.0i will post separately
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