Chain Rule

Differentiation of composite functions using the chain rule

Critical PriorityFormula Provided
Official Keywords
chain rulecomposite functionfunction of a function

Common Errors to Avoid

Chain Rule - Lost Constant
very high frequency

Forgetting to multiply by the derivative of the inner function (e.g., d/dx[sin(2x)] = cos(2x) instead of 2cos(2x))

Prevention tip: Always identify the 'inner function' and multiply by its derivative

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