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Input interpretation:

chain rule (mathematical problem)


Statement:

If a function g(x) is differentiable at the point x and a function f(x) is differentiable at the point g(x), then the composition f(empty small circle)g is differentiable at x. Furthermore, let y = f(g(x)) and u = g(x), then  dy\/ dx =  dy\/ du· du\/ dx.


History:

status | proved


Associated equation:

(dy)\/(dx) = (dy)\/(du)·(du)\/(dx)


Classes:

mathematical rules  |  solved mathematics problems  |  mathematics theorems

Source information
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