Question

find the derivative of e^x cos y=x e^y implicitly

Answer 1

DO U KNOW PRODUCT RULE..

Answer 2

yes

Answer 3

USE THE SAME
IF U DIFF WRT 'x' THEN WHEN U DIFFERENTIATE y ATTACH dy/dx WITH IT

Answer 4

thus we have
e^x cos y - e^x( sin y ) *dy/dx = e^y + x( e^y )*dy/dx

and arrange them to get dy/dx