Use this equation to find dy/dx. 7y cos(x) = x² + y²

Solution:

Given 7ycosx = x² + y²

The above equation is an implicit function

The implicit function is defined as a function where one cannot write as y in terms of x

In order to solve, we can use implicit differentiation

dy/dx = (2x + ysinx) / (7cosx - 2y)

Therefore, the derivative of given function is dy/dx = (2x + ysinx) / (7cosx - 2y)

Use this equation to find dy/dx. 7y cos(x) = x² + y²

Summary:

The value of dy/dx of 7y cos(x) = x² + y² is (2x + ysinx) / (7cosx - 2y)