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Grade: 12
        

Consider the following statements in 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 :
(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 correct explanation for S.
(D) S is correct and R is wrong.

10 years ago

Answers : (1)

Askiitian.Expert Rajat
24 Points
							

Hi,

S is correct and R is wrong.

Because f'(x) may be negative. But that does not say that f"(x) has to be negative too.

Regards

Rajat

Askiitian  Expert

10 years ago
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