The greatest value of f( x )=( x +1)^ 1 / 3 -( x -1)^ 1 / 3 on [0, 1] is
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
The greatest value of \(f(\mathbf{x})=(\mathbf{x}+1)^{1 / 3}-(\mathbf{x}-1)^{1 / 3}\) on [0, 1] is
- 1
- 2
- 3
- 1/3
Answer
(A) 1
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If the ratio of base radius and height of a cone is 1 : 2 and percentage error in radius is λ %, then the…
- Assertion : The minimum distance of the fixed point (0, y 0 ), where 0 y _ 0 1 2 , from the curve y = x 2 is…
- If y= x+e^ x then d^ 2 x d y^ 2 is equal to
- Let x = sin ( ln t) and y = cos ( ln t) then d ^ 2 y dx ^ 2 is
- The angle of intersection of curves, y = [|sin x| + |cos x|] and x 2 + y 2 = 5, where [.] denotes greatest…
- The rate of change of the surface area of a sphere of radius r, when the radius is increasing at the rate of…
- _ x 4 x (4 x) ^ 2 x ^ 2 (2 x) is equal to:
- The interval in which the function x 3 increases less rapidly than 6x 2 + 15x + 5 is :
More Limit, Continuity and Differentiability questions · Browse all practice questions