\( f(x)=\left\{\begin{array}{ll}1-\sqrt{1-x^{2}}, & \text { if }-1 ...

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=uwbd4Ew7B8Q



Duration: 5:22
3 views
0


\( f(x)=\left\{\begin{array}{ll}1-\sqrt{1-x^{2}}, & \text { if }-1 \leq x \leq 1 \\ 1+\log \frac{1}{x}, & \text { if } x1\end{array}\right. \)
P is

W
(1) continuous and differentiable at \( x=1 \)
(2) continuous but not differentiable at \( x=1 \)
(3) neither continuous nor differentiable at \( x=1 \)
(4) none of these
šŸ“²PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-03-21Consider \( f(x)=x^{2}+a x+3 \) and \( g(x)=x+b \) and \( \mathrm{P...
2023-03-21Let \( f(x)=\left\{\begin{array}{ll}\frac{a(1-x \sin x)+b \cos x+5}...
2023-03-21Which of the following function is thrice differentiable at \( x=0 ...
2023-03-21\( f:[0,1] \rightarrow R \) is defined as \( f(x)=\left\{\begin{arr...
2023-03-21If \( f(x)=x+|x|+\cos \left(\left[\pi^{2}\right] x\right) \) and \(...
2023-03-21\( f(x)=\frac{x}{1+(\ln x)(\ln x) \cdots \infty} \forall x \in[1,3]...
2023-03-21A function is defined as \[ f(x)=\lim _{n \rightarrow \infty}\left\...
2023-03-21The position vectors of the four angular points of a tetrahedron \(...
2023-03-21If \( f(x)=\operatorname{sgn}\left(x^{2}-a x+1\right) \) has maximu...
2023-03-21Which of the statement(s) is/are incorrect? (1) If \( f+g \) is con...
2023-03-21\( f(x)=\left\{\begin{array}{ll}1-\sqrt{1-x^{2}}, & \text { if }-1 ...
2023-03-21Let \( f(x) \) be a continuous function for all \( x \in R \) and \...
2023-03-21If \( f(x-y), f(x) f(y) \), and \( f(x+y) \) are in A.P. for all \(...
2023-03-21If \( f(x)=[|x|] \), where \( [\cdot] \) denotes the greatest integ...
2023-03-21Let \( f(x)=\operatorname{sgn}(\cos 2 x-2 \sin x+3) \), where sgn \...
2023-03-21Let \( g(x) \) be a polynomial of degree one and \( f(x) \) be defi...
2023-03-21If \( f(x)=[|x|] \), where \( [\cdot] \) denotes the greatest integ...
2023-03-21If \( y=\frac{x^{2}}{2}+\frac{1}{2} x \sqrt{x^{2}+1}+\log _{e} \sqr...
2023-03-21Anonzero polynomial with real coefficients has the property P that ...
2023-03-21If \( x+4|y|=6 y \), then \( y \) as a function of \( x \) is (1) c...
2023-03-21If \( y=\cos ^{-1}\left(\frac{2 x}{1+x^{2}}\right) \), then \( \fra...



Tags:
pw