Implicit differentiation of 1/x +1/y=5 y(4)= 4/19
y'(4)=?

Above, I changed the fraction form of x and y into exponential form so it is easier to see the differentiation. Now, we can differentiate:



Now that we have dy/dx, we can plug in the x, which is 4, and the y, which is 4/19. We know these values of x and y because your question stated y(4) = 4/19.

There is no image, or it's not working.