Consider the following statements S and R : S : Both sin x and cos x are decreasing…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Consider the following statements S and R :
S : Both sin x and cos x are decreasing functions in the interval \(\left(\frac{\pi}{2}, \pi\right)\)
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 ?
S : Both sin x and cos x are decreasing functions in the interval \(\left(\frac{\pi}{2}, \pi\right)\)
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.
Answer
(D) S is correct and R is wrong.
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