if `f(x)=x^3-2x^2+3x-5,` then `f(sin(5pi/2))+f(sin(3pi/2))=`

if f(x)=x^(3)-2x^(2)+3x-5, then f(sin(5(pi)/(2)))+f(sin(3(pi)/(2)))=

f(x)=x^(3)-3x+5thenf((sin(3 pi))/(2))+f((cos(3 pi))/(2))=

If f(x)=x^(2)-sin x+5 , then at x=pi

If f(x)=(1-sin^(2)x)/(1+sin^(2)x)," then "3f'((pi)/(4))-f((pi)/(4))=

If f'(x)=k(cos x-sin x),f'(0)=3 and f((pi)/(2)) find f'(x)

Investigate the increasing or decreasing behaviour of the following function : f(x)= sin^3x-3sin^2x-5,x in ((-pi)/2,pi/2)

Separate the intervals of monotonocity of the function: f(x)=-sin^(3)x+3sin^(2)x+5,x in[-(pi)/(2),(pi)/(2)]

Let f:[0,2] to RR be the function defined by f(x)=(3-sin (2pix)) sin (pi x-(pi)/(4)) - sin (3pi x+(pi)/(4)) If alpha,beta in [0,2] are such that {x in [0,2]: f(x) ge0}= [alpha, beta] , then the value of beta- alpha is._________

If f(x)=2sin^(3)x-3sin^(2)x+12sin x+5AA x in(0,pi/2) then