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Find critical points of f(x) =max (sinx ...

Find critical points of f(x) =max (sinx cosx) `AA , X in (0, 2pi)`.

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From the figure it is clear that f(x) has three critical points `X =(pi)/(4),(pi)/(2),(5pi)/(4),`
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RESONANCE ENGLISH-APPLICATION OF DERIVATIVES-High Level Problems (HLP)
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  13. Find the possible values of a such that the inequality 3-x^(2)gt|x-a| ...

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  14. lf f'(x) > 0,f"(x)>0AA x in (0,1) and f(0)=0,f(1)=1,then prove that...

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  16. The interval to which a may belong so that the function f(x)=(1-(sqrt(...

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  17. Find positive real numbers 'a' and 'b' such that f(x) =ax-bx^(3) has...

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  18. For any acute angled triangleABC,(sinA)/(A)+(sinB)/(B)+(sinC)/(C ) can

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  19. Find the minimum value of f(x) =8^(x) +8^(-x) -4(4^(x)+4^(-x)) , AA x ...

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  20. Show that height of the cylinder of greatest volume which can be in...

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  21. The cosine of the angle at the vertex of an isosceles triangle having ...

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