Implicit Function - Implicit Differentiation

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.

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Famous quotes containing the word implicit:

    The vanity of men, a constant insult to women, is also the ground for the implicit feminine claim of superior sensitivity and morality.
    Patricia Meyer Spacks (b. 1929)