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18. Maxima and Minima
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Q1 of 137 Page 19

#Mark the correct alternative in each of the following

The maximum value of x1/x, x > 0 is


.


Let


therefore,.


Differentiating w.r.t x


so,




Now, lets put y’=0




soOR1-log x) =0


therefore,x=1/e and x=0


Hence by second derivative test


f’’(1/e)<0 so it’s a point of maximum


and maximum value is.

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18. Maxima and Minima
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