Question

Derivative of xy= 100(x+ y)

Answer 1

$\textbf{Check the attachment}$


Be Brainly.


@karangrover12.

Answer 2

The derivative of xy = 100 ( x + y ) is ( 100 - y ) / ( x - 100 ).

Given: xy = 100 ( x + y )

To Find: The derivative of xy = 100 ( x + y ).

Solution:

Assuming we need to find the differentiation of y with respect to x, we can say that;

           xy = 100 ( x + y )

      ⇒  xy = 100x + 100y

      ⇒  xy - 100x - 100y = 0

Now, differentiating both sides with respect to x, we can say that;

      ⇒  x dy/dx + y - 100 - 100 dy/dx = 0

      ⇒  ( x - 100 ) × dy/dx = 100 - y

      ⇒  dy/dx = ( 100 - y ) / ( x - 100 )

Hence, the derivative of xy = 100 ( x + y ) is ( 100 - y ) / ( x - 100 ).

#SPJ2