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:
“A piece of advice always contains an implicit threat, just as a threat always contains an implicit piece of advice.”
—José Bergamín (18951983)