In calculus, a method called implicit differentiation makes use of the chain rule to differentiate implicitly defined functions.
As explained in the introduction, y can be given as a function of x implicitly rather than explicitly. When we have an equation R(x, y) = 0, we may be able to solve it for y and then differentiate. However, sometimes it is simpler to differentiate R(x, y) with respect to x and y and then solve for dy/dx.
Read more about this topic: Implicit Function
Famous quotes containing the word implicit:
“The true colour of life is the colour of the body, the colour of the covered red, the implicit and not explicit red of the living heart and the pulses. It is the modest colour of the unpublished blood.”
—Alice Meynell (1847–1922)