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Grade 12th passDifferential Calculus

Maximum value and minimum value of f(x)=4(sin^2x+cos^4x)?please provide detailed answer soon,would be grateful.......

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Profile image of Aamir Nashir
9 Years agoGrade 12th pass
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2 Answers

Profile image of Mike Kenji Shinoda
ApprovedApproved Tutor Answer9 Years ago
I am writing theta as x as there is no theta symbol in my keyboard Now on differentiating the function with respect to X we getF`(x)=8sinxcosx-16cos³xsinx F`(x)=8sinxcosx(1-cos²x)For max or min valueF`(x)=0=>8sinxcosx(1-cos²x)=0=> which gives us the value that either either x=0 or x=[π\2] and double differentiate to check the maxima and minima Hope it helps and if u r a girl it would be a pleasure if u give your no. HahaLOLz just kidding
Profile image of REGHURAM KESAVAN
8 Years ago
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