The function f (x) = 2x 2 – log | x | monotonically decreases for
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
The function f (x) = 2x2 – log | x | monotonically decreases for
- x ∈ ( –∞, – 1/2] ∪ (0, 1/2]
- x ∈ (– ∞, 1/2]
- x ∈ [– 1/2, 0) ∪ [ 1/2, ∞)
- none of these
Answer
(A) x ∈ ( – ∞ , – 1/2] ∪ (0, 1/2]
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If the function f(x)= array ll a| -x|+1, & x 5 b|x- |+3, & x>5 array . is continuous at x = 5, then value of…
- Differentiate the function y= [x^ 2 +1 ] 2 x w. r. t. x.
- Given below are two statements. One is labelled as Assertion and the other is labelled as Reason. STATEMENT …
- Slope of tangent to the curve y = 2e x sin ( 4 - x 2 ) cos ( 4 - x 2 ), where 0 ≤ x ≤ 2π is minimum at x =
- The function f( x )= _ 1 ^ x 2( t -1)( t -2)^ 3 +3( t -1)^ 2 ( t -2)^ 2 dt attains its local maximum value at…
- Evaluate _ x 1 1- 2 x 2 x .
- A function is defined as follows : f(x)= array cc x^ 3 ; & x^ 2 <1 x ; & x^ 2 1 array . The function is
- Let f(x)=2 ^ 3 x-3 ^ 2 x+12 x+5,0 x 2 . Then, f (x) is
More Limit, Continuity and Differentiability questions · Browse all practice questions