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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: a problem: find minimum value of "(2^sin¤)+(2^cos¤)"
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Decoder (475)

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Olaaa!! Perrrfect answer. 73  [128 rates]

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method 1...

take this as y = 2^sinx + 2^cosx...
just differentiate..

dy/dx = cosx.2^sinxlog2 - sinx.2^cosx.log2..

this method wasn't good ..

2^sinx,cosx both r positive...

lets use inequalities..

a-m - gm..

min. value is 2 root { 2^ (sinx + cosx)...}

sinx+ cosx at max. gives u. root2...




Diamonds r formed under greatest pressures..
so r the champs.


Kriteesh..


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