Question

३. ८५ का ६५ के सायद सबल » गत ।।

Defence Exams

Maths

Solution

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( y mid=frac{8}{2} ln 7 x ) ( frac{1}{y !} frac{d y}{d x}=sin ^{-1} x times frac{1}{x}+log _{frac{x}{sqrt{1-x^{2}}}} ) ( frac{d y mid}{d x}=x^{sin ^{-1} x}left[frac{sin ^{-1} x}{x}+frac{log x}{sqrt{1-x^{2}}}right] ) ( y 2=2 sin 1 x ) ( frac{d y_{2}}{d x}=frac{1}{1-y^{2}} ) ( frac{d y mid}{d y}=x^{sin 1} xleft[frac{sin 1 x}{x}+frac{log x}{mid 1-x^{2}}right] ) ( frac{d y}{d y}=sqrt{1-x^{2}} cdot sqrt{sin -x}^{frac{1}{x}}left[frac{2 ln ^{-1} x}{x}+frac{109}{sqrt{1-x}}right. ) 8