If greatest amp- least values of - f-x-sin-1x-x-2-1-ln-x in - -1-3- -3- are M amp- m respectively- then- M-m-ln3-6- M-m-ln3-6- M-m-2- M-m-ln3-3-

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Standard XII

Mathematics

Trigonometric Equations

If greatest ...

Question

If greatest & least values of $f (x) = {sin}^{- 1} \frac{x}{\sqrt{x^{2} + 1}} - l n$ x in $[\frac{1}{\sqrt{3}}, \sqrt{3}]$ are M & m respectively, then?

M + m = l n 3 + \frac{π}{6}

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M = m = l n 3 - \frac{π}{6}

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M + m = \frac{π}{2}

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M - m = l n 3 - \frac{π}{3}

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If greatest & least values of f(x)=sin−1x√x2+1−lnx in [1√3,√3] are M & m respectively, then?

If greatest & least values of $f (x) = {sin}^{- 1} \frac{x}{\sqrt{x^{2} + 1}} - l n$ x in $[\frac{1}{\sqrt{3}}, \sqrt{3}]$ are M & m respectively, then?