Question and Answers Forum

All Questions      Topic List

Limits Questions

Previous in All Question      Next in All Question      

Previous in Limits      Next in Limits      

Question Number 25495 by rita1608 last updated on 11/Dec/17

Commented by prakash jain last updated on 11/Dec/17

∣x∣= { ((−x),(x<0)),(x,(x≥0)) :}  f(x)= { ((−x^2 ),(x<0)),(x^2 ,(x≥0)) :}  clearly it differential at every pt other  than 0 (polynomial function)  You need to check differentiability  at x=0 by taking LHD and RHD.

$$\mid{x}\mid=\begin{cases}{−{x}}&{{x}<\mathrm{0}}\\{{x}}&{{x}\geqslant\mathrm{0}}\end{cases} \\ $$$${f}\left({x}\right)=\begin{cases}{−{x}^{\mathrm{2}} }&{{x}<\mathrm{0}}\\{{x}^{\mathrm{2}} }&{{x}\geqslant\mathrm{0}}\end{cases} \\ $$$$\mathrm{clearly}\:\mathrm{it}\:\mathrm{differential}\:\mathrm{at}\:\mathrm{every}\:\mathrm{pt}\:\mathrm{other} \\ $$$$\mathrm{than}\:\mathrm{0}\:\left(\mathrm{polynomial}\:\mathrm{function}\right) \\ $$$$\mathrm{You}\:\mathrm{need}\:\mathrm{to}\:\mathrm{check}\:\mathrm{differentiability} \\ $$$$\mathrm{at}\:{x}=\mathrm{0}\:\mathrm{by}\:\mathrm{taking}\:\mathrm{LHD}\:\mathrm{and}\:\mathrm{RHD}. \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com