GATE CSE
First time here? Checkout the FAQ!
x
0 votes
79 views

Let $f : \mathbb{R} \rightarrow \mathbb{R}$ denote the function defined by $f(x)= (1-x^{2})^{\frac{3}{2}}$ if $|x| < 1$, and $f(x)=0$ if $|x| \geq 1$. Which of the following statements is correct ?

  1. $f$ is not continuous
  2. $f$ is continuous but not differentiable
  3. $f$ is differentiable but $f'$ is not continuous.
  4. $f$ is differentiable and $f'$ is continuous.
asked in Calculus by Veteran (29.1k points)   | 79 views

1 Answer

0 votes
F(x) is continuous at -1 and 1.
Ans 4
answered by Junior (919 points)  
explain more why option 4 is correct and rest are not.


Top Users Mar 2017
  1. rude

    4768 Points

  2. sh!va

    3054 Points

  3. Rahul Jain25

    2920 Points

  4. Kapil

    2728 Points

  5. Debashish Deka

    2602 Points

  6. 2018

    1572 Points

  7. Vignesh Sekar

    1422 Points

  8. Akriti sood

    1362 Points

  9. Bikram

    1334 Points

  10. Sanjay Sharma

    1126 Points

Monthly Topper: Rs. 500 gift card

21,516 questions
26,842 answers
61,139 comments
23,176 users