Home
Class 12
MATHS
Let f : R to R be a function defined by...

Let `f : R to R ` be a function defined by `f(x) = max. {x, x^(3)}`. The set of all points where `f(x) ` is NOT differenctiable is
(a) `{-1, 1}`
(b) `{-1, 0}`
(c ) `{0, 1}`
(d) ` {-1, 0, 1}`

A

{-1,1}

B

{-1,0}

C

{0,1}

D

{-1,0,1}

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos
  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise HIGHER ORDER DERIVATIVES|32 Videos
  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos
  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

Similar Questions

Explore conceptually related problems

If f:R rarr R is defined by f(x)=max{x,x^(3)} .The set of all points where f(x) is not differentiable is

let f:R rarr R be a function defined by f(x)=max{x,x^(3)} .The set of values where f(x) is differentiable is:

Let f , R to R be a function defined by f(x) = max {x,x^(2)} . Let S denote the set of all point in R , where f is not differnetiable Then :

Let f: R to R be a function defined by f(x)="min" {x+1,|x|+1}. Then, which of the following is true?

Let f : R → R be a function defined by f ( x ) = 4 x − 3 ∀ x ∈ R . Then Write f^(−1) .

Let f:R rarr R be the function defined by f(x)=x^(3)+5 then f^(-1)(x) is

Let f:[-1,1] to R be a function defined by f(x)={x^(2)|cos((pi)/(x))| "for" x ne 0, "for "x=0 , The set of points where f is not differentiable is

Let f: R->R be the function defined by f(x)=4x-3 for all x in R . Then write f^(-1) .