Questions
The function ,has no maxima or minima if
a
b−a=nπ,n∈I
b
b−a=(2n+1)π,n∈I
c
b−a=2nπ,n∈I
d
none of these
detailed solution
Correct option is A
f(x)=sin(x+a)sin(x+b)f′(x)=sin(x+b)cos(x+a)−sin(x+a)cos(x+b)sin2(x+b) =sin(b−a)sin2(x+b)If sin(b−a)=0, then f′(x)=0 or f(x)will be a constant ,i.e.,b−a=nπ or b−a=(2n+1)π or b−a=2nπ. Then f(x) has no minimaTalk to our academic expert!
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