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Edexcel A-level Maths Methods of differentiation

Methods of differentiation

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When differentiating products of two functions, the Product Rule must be used.

Product rule

Composite functions are differentiated using the Chain Rule. To do this, the outside function and the inside function must be identified. The derivative of the composite function is the product of the derivative of the outside function and the derivative of the inside function.

Chain rule

Fractions of functions are differentiated using the Quotient rule.

Quotient rule

To find the derivative of the inverse of a function, the inverse of the function and the derivative of it must be found. Then, the inverse must be substituted into the derivative of the function. Taking the reciprocal of this result gives the derivative of the inverse of the function. This is called the Inverse Function Theorem.

Differentiation and inverse functions

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