GATE CSE
First time here? Checkout the FAQ!
x
0 votes
68 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 (28.1k points)   | 68 views

1 Answer

0 votes
F(x) is continuous at -1 and 1.
Ans 4
answered by Junior (905 points)  
explain more why option 4 is correct and rest are not.
Top Users Jan 2017
  1. Debashish Deka

    9614 Points

  2. sudsho

    5554 Points

  3. Habibkhan

    4878 Points

  4. Bikram

    4774 Points

  5. Vijay Thakur

    4498 Points

  6. Arjun

    4408 Points

  7. saurabh rai

    4236 Points

  8. Sushant Gokhale

    4112 Points

  9. Kapil

    3830 Points

  10. santhoshdevulapally

    3808 Points

Monthly Topper: Rs. 500 gift card

19,371 questions
24,203 answers
53,828 comments
20,368 users