Let `f(x)=sin^3x+lambdasin^2x ,-pi/2

Let f(x)=2sin^(3)x+lamdasin^(2)x,-(pi)/2ltxlt(pi)/2 . If f(x) has exactly one minimum and one maximum, then lamda cannot be equal to

Let f(x)=sin^(3)x+lambda sin^(2)x where -pi//2ltxltpi//2. Find the intervals in which lambda should lie in order that f(x) has exactly one minimum.

Let f(x)=sin^(3)x+sin^(3)(x+(2 pi)/(3))+sin^(3)(x+(4 pi)/(3)) then the primitive of f(x)w.r.t.x is

Let f(x)=|x|+|sin x|, x in (-pi//2,pi//2). Then, f is

Let f(x)=|x|+|sinx|, x in (-pi/ 2,3pi/2). Then , f is

Statement 1: Let f(x)=sin(cos x) in [0,(pi)/(2)]* Then f(x) is decreasing in [0,(pi)/(2)] Statement 2:cos x is a decreasing function AA x in[0,(pi)/(2)]

Let f(x)={(1-s in^3x)/(3cos^2x) , if x pi/2 . If f(x) is continuous at x=pi/2 , find a and b .

Let f(x) = 2sin^3x-3sin^2+12sinx+5, 0lexlepi/2 Then f(x)is

Let f(x)=-sin^(3)x+3sin^(2)x+5 on [0,(pi)/(2)]. Find the local maximum and local minimum of f(x)

Let f(x)=sin x+2cos^(2)x,x in[(pi)/(6),(2 pi)/(3)] then maximum value of f(x) is