Practicing Success
Consider the following statements S and R : S: Both sin x and cos x are decreasing functions in the interval (π/2, π). R: If a differentiable function decreases in an interval a, b, then its derivative also decreases in (a, b) Which of the following is true? |
Both S and R are wrong. Both S and R are correct, but R is not the correct explanation for S S is correct and R is the correct explanation for S S is correct and R is wrong |
S is correct and R is wrong |
It is evident that both sin x and cos x are decreasing functions in the interval $(\pi / 2, \pi)$. So, S is correct. Statement R is not correct, because sin x is decreasing in the interval $(\pi / 2,3 \pi / 2)$ but its derivative i.e. cos x is not so. |