Chain rule for multivariable functions: Difference between revisions
From Applied Science
(Created page with "With a single variable function the chain rule tells us that <math>[f(g(x))]' = g'(x)f'(g(x))</math>. For multivariable functions the idea is the same, it's still a product of derivatives. Both functions have to be differentiable for the chain rule to work.") |
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Revision as of 01:50, 9 May 2022
With a single variable function the chain rule tells us that [math]\displaystyle{ [f(g(x))]' = g'(x)f'(g(x)) }[/math]. For multivariable functions the idea is the same, it's still a product of derivatives. Both functions have to be differentiable for the chain rule to work.