Let f : R → R be a function defined by f ( x ) = max x , x 3 . The set of all points…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let f : R→R be a function defined by f (x) = max {x,x3}.
The set of all points where f (x) is not differentiable is
The set of all points where f (x) is not differentiable is
- {–1, 1}
- {–1, 0}
- {0, 1}
- {–1, 0, 1}
Answer
(D) –1, 0, 1
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let f : R → (0, ∞) and g : R → R be twice differentiable functions such that f ′′ and g ′′ are continuous…
- Let f : (0, ∞) → R and F(x)= _ 0 ^ x f(t) d t If , then f (4) equals
- If _ l = | array lll x & ~b & ~b a & x & ~b a & a & x array | and _ 2 = | array ll x & ~b a & x array | are…
- If _ x 0 ( a^ x +b^ x +c^ x 3 )^ / x , (a, b, c, λ > 0) is equal to
- Let U(x) and V(x) are differentiable functions such that U(x) V(x) =7 . If U ^ ( x ) V ^ ( x ) = p and ( V (…
- x 0 Limit ^ -1 ( x)
- _ n 1^ p +2^ p +3^ p + +n^ p n^ p+1 is
- Let f(x)= array cc 0, & x x
More Limit, Continuity and Differentiability questions · Browse all practice questions