Ex 5.3, 10 - Find dy/dx in y=tan-1 (3x - x3/1 - 3x2) - Finding derivative of Inverse trigonometric functions

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Ex 5.3, 10 Find in, = tan 1 3 3 1 3 2 , 1 3 < < 1 3 = tan 1 3 3 1 3 2 Putting x = tan y = 1 3 tan tan 3 1 3 tan 2 y = 1 ( tan 3 ) = 3 Putting value of = 1 = 3 ( 1 ) Differentiating both sides . . . . ( ) = 3 ( 1 ) =3 ( 1 ) = 3 1 1 + 2 = +

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