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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.

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.

Grade:12

1 Answers

Askiitian.Expert Rajat
24 Points
12 years ago

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

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