Consider the following S and R . S : Both sin x , cos x are decreasing functions in the…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Consider the following S and R.
S : Both sin x, 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, 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.
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- A rectangular sheet of fixed perimeter with sides having their lengths in the ratio 8 : 15 is converted into…
- If f ( x ) = then, on the interval [0, π], where [ x ] denotes the greatest integer function of x .
- If and g(x)= x an x where , then in this interval
- Let f and g be real valued functions defined on interval (– 1, 1) such that g ″( x ) is continuous, g (0) ≠…
- Let and be functions defined by f ( x ) = [ x 2 – 3] and g ( x ) = | x | f ( x ) + |4 x – 7| f ( x ), where […
- Let for all x > 0 . Then
- 112. Let f ( x ) = (1 – x ) 2 sin 2 x + x 2 for all x ∈ R , and let for all x ∈ (1, ∞). Which of the…
- If f ( x ) = x α log x and f (0) = 0, then the value of α for which Rolle’s theorem can be applied in [0,1] is
More Limit, Continuity and Differentiability questions · Browse all practice questions