differenciate-using-implicit-function-2x-4y-sin-xy-3-

Question Number 162516 by CM last updated on 30/Dec/21

d i f f e r e n c i a t e u s i n g i m p l i c i t f u n c t i o n 2 x + 4 y + \sin x y = 3

Commented by cortano last updated on 30/Dec/21

\frac{d}{d x} (2 x + 4 y + \sin x y) = \frac{d}{d x} (3)

2 + 4 y^{'} + (y + {x y}^{'}) \cos x y = 0

4 y^{'} + y \cos x y + {x y}^{'} \cos x y = - 2

(4 + x \cos x y) y^{'} = - 2 - y \cos x y

y^{'} = - \frac{2 + y \cos x y}{4 + x \cos x y}

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