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<p class="MsoNormal">Let f(x) = sin (cube) x + a sin (square) x, [for –pi/2<x<pi/2]. Find the interval in which a should lie in order that f(x) has exactly one minimum and one maximum.</p>
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iit jee , 14 Years ago
Grade 12
1 Answers
Jitender Singh
Last Activity: 10 Years ago
Ans:
Lets 1stfind the crical points:
Both of these values should have opposite sign for exactly one maxima & one minima
Let
So the combined solution is
Lets
So the combined solution is
So ‘a’ should lie in
Thanks & Regards
Jitender Singh
IIT Delhi
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