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and it turns out that it's actually fairly simple to differentiate a function composition using the Chain Rule. There are two forms of the chain rule. Here they are.
The chain rule is similar to the product rule and the quotient rule, but it deals with differentiating compositions of functions. If we recall, a composite function is a
The composite function rule shows us a quicker way. If f(x) = h(g(x)) then f (x) = h (g(x)) ? g (x). In words: differentiate the 'outside' function, and then multiply by the derivative of the 'inside' function. To apply this to f(x)=(x2 + 1)17, the outside function is h(
Home » Supplemental Resources » Calculus Revisited: Single Variable Calculus » Part II: Differentiation » Lecture 3: Composite Functions and the Chain Rule
Differentiating this function still means the same thing--still we are looking for We define the slope in this direction as the change in the z variable, or a change in the The composite function chain rule notation can also be adjusted for the
The composite function accepts a domain value, applies the inner function to chain rule; it shows us how to differentiate a composite of differentiable funcitons.

17 Apr 2017
Find derivatives of functions that are the composition of two (more basic) functions using the chain rule.
21 Jul 2016
     

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