Composite functions are written as (f o g)(x) = f(g(x)). Derivatives are calculated using chain rule: d(h(x))/dx = df/du × du/dx. Formula: d(f(g(x))/dx = f'(g(x)) · g'(x)
A function relates inputs to outputs in mathematics. Composite functions are created by substituting one function into another. The inner function is written inside the outer function
Composite functions are functions that are nested within other functions. The outer function is written on the left, while the inner function is on the right. The composition symbol ∘ is used to indicate function composition
Chain rule computes derivatives of compositions of functions. Composite function is defined as f(g(x)) where g maps X to U and f maps U to Y. Derivative is product of derivatives of outer and inner functions
Composite functions combine two functions into one. Order of function application matters: inner function before outer. Can be written using small circle notation (f ∘ g)(x)