Mathematical Methods ยท Unit 2 ยท Further differentiation ยท Differentiation rules
Use the chain rule, if ๐ฆ = ๐(๐ข) and ๐ข = ๐(๐ฅ) then ๐๐ฆ ๐๐ฅ = ๐๐ฆ ๐๐ข ร ๐๐ข ๐๐ฅ, to determine the derivative of composite functions involving power and polynomial functions.
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Solve problems that involve combinations of the chain rule, product rule and quotient rule to differentiate functions involving power and polynomial functions, expressing derivatives in simplest and factorised form.
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Use the product rule, ๐(๐ข๐ฃ) ๐๐ฅ = ๐ข ๐๐ฃ ๐๐ฅ + ๐ฃ ๐๐ข ๐๐ฅ, to determine the derivative of products of functions involving power and polynomial functions.