If `f(x)=sinx+a^2x+b` is an inccreasing function for all values of `x,` then

Prove that f(x)=x-sinx is an increasing function.

Prove that f(x)=x-sinx is an increasing function.

Prove that f(x)=x-sinx is an increasing function.

If the function f(x)=(Ksinx+2cosx)/(sinx+cosx) is increasing for all values of x then

Let f(x) be a function such that f'(x)=log_(1//3)[log_(3)(sinx+a)] . If f(x) is decreasing for all real values of x , then

Show that f(x) = sinx is continuous for all values of x.

If f(x) = cos|x| - 2ax + b is a function, which increases for all x, then the maximum value of 2a + 1 is

If f:[-20,20]->R defined by f(x)=[x^2/a]sinx+cosx is an even function, then set of values of a is