![]() ![]() Step 1: Identify the inner and outer functions.įor an example, let the composite function be y = √(x 4 – 37). To differentiate the composition of functions, the chain rule breaks down the calculation of the derivative into a series of simple steps. This indicates that the function f(x), the inner function, must be calculated before the value of g(x), the outer function, can be found. The composition g (f (x)), which is also written as (g ∘ f) (x), would be (x 2-3) 2. ![]() For example, let’s say you had the functions: When you apply one function to the results of another function, you create a composition of functions. What’s needed is a simpler, more intuitive approach! That isn’t much help, unless you’re already very familiar with it.
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