How to find dy/dx if x + tan ( x y ) = 0 ?

Question

How to find dy/dx if       x    +          tan              (        x        y        )              =    0  ?

izprsiti3ou · Accepted Answer

Step 1You must remember that y is a function of x and derive it accordingly, as                     d        y                    d        x             getting:  x  +  tan  ⁡  (  x  y  )  =  0    1  +      1                  cos        2            ⁡      (      x      y      )        ⋅  [  y  +  x            d      y              d      x        ]  =  0    1  +      y                  cos        2            ⁡      (      x      y      )        +      x                  cos        2            ⁡      (      x      y      )                  d      y              d      x        =  0Step 2            d      y              d      x        =  (  −  1  −      y                  cos        2            ⁡      (      x      y      )        )  ⋅                    cos        2            ⁡      (      x      y      )        x    =      1    x    (      cos    2    ⁡  (  x  y  )  −  y  )

How to find dy/dx if x + tan ( x y ) = 0 ?

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