On which of the following intervals, the function `x^(100)+sinx-1` is strictly increasing. `(-1,1)` (b) (0,1) `(pi/2,pi)` (d) `(0,pi/2)`

On which of the following intervals is the function 'f' given by f(x)=x^(100)+sinx-1 strictly increasing?

On which of the following intervals is the function f given by f(x)=x^(100)+sinx-1 strictly decreasing ? (A) (0, 1) (B) (pi/2,pi) (C) (0,pi/2) (D) None of these

On which of the following intervals is the function x^(100)+sinx-1 decreasing? (a) (0,pi/2) (b) (0,1) (c) (pi/2,pi) (d) none of these

On which of the following intervals is the function x^(100)+sinx-1 decreasing? (a) (0,pi/2) (b) (0,1) (c) (pi/2,pi) (d) none of these

On which of the following intervals is the function x^(100)+sin x-1 decreasing? (a) (0,(pi)/(2))(b)(0,1)(c)((pi)/(2),pi)( d) none of these

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-pi/2,pi/4) (b) (0,pi/2) (-pi/2,pi/2) (d) (pi/4,pi/2)

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-pi/2,pi/4) (b) (0,pi/2) (-pi/2,pi/2) (d) (pi/4,pi/2)

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-pi/2,pi/4) (b) (0,pi/2) (-pi/2,pi/2) (d) (pi/4,pi/2)

show that the function f(x)=sin x is strictly increasing in (0,(pi)/(2)) strictly decreasing in ((pi)/(2),pi)

Prove that the function log sin x is strictly increasing (0,pi/2) and strictly decreasing on (pi/2,pi)