Consider the following statements S and R S : Both and cos…

Maths Differentiation and Applications of Derivatives Increasing and Decreasing Function Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Consider the following statements S and R

S : Both and cos x are decreasing functions in

R : If a differentiable function decreases in ( 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

Text Solution

Verified by Experts

The correct answer is:

From the trend of value of and we know and decrease in . So, the statement S is correct.

The statement R is incorrect which is clear from graph. Clearly is differentiable in ( a, b ).

Also, .

But

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