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Class 12

MATHS

APPLICATIONS OF DERIVATIVES

Updated On: 16-12-2020

Answer

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Solution

(i)

<br>

, i.e.,

<br>

<br> Thus,

are the candidates for local maxima or minima. <br> Moreover,

<br> Case I When

<br> We have

<br>

is a point of local maximum. <br> Local maximum value

<br> Case II When

<br> We have

<br>

is a point of local minimum. <br> Local minimum value

<br> (ii)

<br>

<br>

<br> Thus,

are the candidates for local maxima or local minima. <br> Case I When

<br> We have

<br>

is a point of local maximum. <br> And, the local maximum value <br>

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