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Consider the following statements in S a...

Consider the following statements in S and R S: Both `sinxa n dcosx` are decrerasing function in the interval `(pi/2,pi)` R: If a differentiable function decreases in an interval `(a , b),` then its derivative also decrease in `a , b)dot` Which of the following it true? Both S and R are wrong. Both S and R are correct, but R is not the correct explanation of S. S is correct and R is the correct explanation for S. S is correct and R is wrong.

A

Both S and R are wrong

B

Both S and R are correct but R is not correct explanation for S

C

S is correct and R wrong

D

d

Text Solution

Verified by Experts

The correct Answer is:
D
It is evident that both sinx and cosx are decreasing function in the interval `(pi/2,pi)`So is correct , Statement R is not correct because sinx is decreasing in the interval `(pi/2,(3pi)/2)` but its derivative i.e. cosx is not so
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