Prove that the function `f(x) = [x]-x` is strictly decreasing on `[0, 1)`.

Prove that the function f(x)=cos x is strictly decreasing in (0,pi)

Prove that the function f(x) = tan x -4x is strictly decreasing on (- (pi)/(3), (pi)/(3)) .

Prove that the function f(x)=cosx is strictly decreasing in (0,\ pi)

Prove that the function f(x)=tan x-4x is strictly decreasing on (-pi/3,pi/3)

Prove that the function f(x) = tanx-4x is strictly decreasing on (-pi/3,pi/3)

Prove that the function f(x)=tanx-4x is strictly decreasing on (-pi//3,\ pi//3) .

Prove that the function f(x)=tanx-4x is strictly decreasing on (-pi//3,\ pi//3) .

If a is real number such that 0 lt alt 1 , show that the function f(x) = a^(x) is strictly decreasing on R.

If a is a real number such that 0 lt a lt 1 , show that the function f(x) = a^(x) is strictly decreasing on R.

Prove that the function f given by f(x)=log cos x is strictly decreasing on (0, (pi)/(2)) .