Find the value of `x` for which `f(x)=sqrt(sinx-cosx)` is defined, `x in [0,2pi)dot`

Find the value of x in [-pi,pi] for which f(x)=sqrt((log)_2(4sin^2x-2sqrt(3)sinx-2sinx+sqrt(3)+1)) is defined.

Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreases for all real values of xdot

Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreases for all real values of xdot

Find the value of a for which the function f defined by f(x)={asin(pi/2)(x+1),xlt=0(tanx-sinx)/(x^3),x >0" is continuous", at x=0

Find the value of a for which the function f defined by f(x)={asinpi/2(x+1), ,xlt=0(tanx-sinx)/(x^3),x >0" is continuous at x=0

Find the value of ' a^(prime) for which the function f defined by f(x)={asinpi/2(x+1),\ \ \ xlt=0(tanx-sinx)/(x^3),\ \ \ x >0 is continuous at x=0 .

Find the intervals in which f(x)=sinx-cosx , where 0 lt x lt 2pi is increasing or decreasing.

Write the interval in which f(x)=sinx+cosx ,\ \ x in [0,\ pi//2] is increasing.

The maximum value of f(x)=(sin2x)/(sinx+cosx) in the interval (0, (pi)/(2)) is

Find all the points of local maxima and minima of the function f given by f(x)= sinx- cosx , x in [0,2pi]