Ex 5.5, 8 - Differentiate (sin x)x + sin-1 root x - Chapter 5 - Ex 5.5

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  1. Chapter 5 Class 12 Continuity and Differentiability
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Ex 5.5, 8 Differentiate the functions in, ( sin ) + sin 1 Let = sin + sin 1 Let = sin & = sin 1 = + Differentiating both sides . . . . = ( + ) = + Calculating = sin Taking log both sides log = log sin log = . log sin Differentiating both sides . . . . ( log ) = . log sin log . = . log sin log . = . log sin 1 . = . log sin 1 . = . log sin + log sin 1 . = 1 . log sin + 1 sin . sin 1 . = log sin + 1 sin . cos 1 . = log sin + cos sin = u log sin + cot = sin log sin + cot Calculating = sin 1 Differentiating both sides . . . . = sin 1 = 1 1 2 . = 1 1 . 1 2 = 1 2 1 = 1 2 1 = 1 2 2 Now , = + Putting value of & = + +

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