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AravindG
Group Title
find local maxima and local minima for the function f(x)=sin xcos x
0<x<2
 one year ago
 one year ago
AravindG Group Title
find local maxima and local minima for the function f(x)=sin xcos x 0<x<2
 one year ago
 one year ago

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uzumakhi Group TitleBest ResponseYou've already chosen the best response.0
for this you have to find f'(x)
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
ok ....cos x + sin x then?
 one year ago

uzumakhi Group TitleBest ResponseYou've already chosen the best response.0
and then take f'(x)=0
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
sin x+cos x=0
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
sinx=cos x
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
nw what ?
 one year ago

uzumakhi Group TitleBest ResponseYou've already chosen the best response.0
cos x + sin x = 0 cos x = sinx
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
why u delete that?
 one year ago

uzumakhi Group TitleBest ResponseYou've already chosen the best response.0
find the value of x
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
x=pi/4 isnt it?
 one year ago

uzumakhi Group TitleBest ResponseYou've already chosen the best response.0
no we have to take the value from 0 to 2
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
then hw ??
 one year ago

uzumakhi Group TitleBest ResponseYou've already chosen the best response.0
take x = 135 degrees
 one year ago

uzumakhi Group TitleBest ResponseYou've already chosen the best response.0
convert it to radians
 one year ago

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

AravindG Group TitleBest ResponseYou've already chosen the best response.0
k then hw we find local maxima and local minima ?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.0
local only means 'in that interval' , here 0 to 2pi
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
so what are maxima and minima here ?
 one year ago

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

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

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

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

AravindG Group TitleBest ResponseYou've already chosen the best response.0
sinx +cos x
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
whats the use of taking second derivative ?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.0
to know which point is max. or min. , u know how ?
 one year ago

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

AravindG Group TitleBest ResponseYou've already chosen the best response.0
k gt it !!!
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.0
yes, if f''(x) > 0 , then max or min ?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.0
ok, good :)
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
3pi/4 is max other is minima !!
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
can u check up the answer for the next qn also ?
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
i will post separately
 one year ago
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