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What is critical point how it is different from externum points? How many critical , externum points does it have f(x)=1/x


What is critical point how it is different from externum points?


How many critical , externum points does it have f(x)=1/x


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1 Answers

SAGAR SINGH - IIT DELHI
879 Points
12 years ago

Dear vikash,

If f(x) has a local extremum at c, then either

\begin{displaymath}f'(c) = 0\;\;\mbox{or $f'(c)$ does not exist.}\end{displaymath}


These points are called critical points.

 

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