Statement 1: Both `sinxa n dcosx` are decreasing functions in `(pi/2,pi)` Statement 2: If a differentiable function decreases in an interval `(a , b),` then its derivative also decreases in `(a , b)` .

Assertion Consider the following statements in SandR S: Both sinx and cosx are decreasing function in the interval (pi/2,pi) Reason If a differentiable function decreases in an interval (a,b) , then its derivative also decrease in (a,b) .Which of the following it true? (a) Both S and R are wrong. (b) Both S and R are correct, but R is not the correct explanation of S. (c) S is correct and R is the correct explanation for S. (d) S is correct and R is wrong.

Show that f(x)=cos^2x is decreasing function on (0,pi/2)dot

Show that f(x)=cos^2x is a decreasing function on (0,\ pi//2) .

The function x^x decreases in the interval (a) (0,e) (b) (0,1) (c) (0,1/e) (d) none of these

The function f(x) = tan ^(-1)x -x decreases in the interval

Statement 1: Let f(x)=sin(cos x) \ i n \ [0,pi/2] . Then f(x) is decreasing in [0,pi/2] Statement 2: cosx is a decreasing function AAx in [0,pi/2]

Show that f(x)=tan^(-1)(sinx+cosx) is decreasing function on the interval (pi/4,pi/2)dot

if f is an increasing function and g is a decreasing function on an interval I such that fog exists then

The function x^(100)+sin x-1 is decreasing in the interval:

If f:[0,1] to [0,prop) is differentiable function with decreasing first derivative suc that f(0)=0 and f'(x) gt 0 , then