+3 votes
193 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.
in Calculus | 193 views

## 1 Answer

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

+3 votes
1 answer
1
+4 votes
3 answers
3
+3 votes
2 answers
4