Mathematical Methods Β· Unit 2 Β· Further differentiation Β· Differentiation rules
Use the product rule, π(π’π£) ππ₯ = π’ ππ£ ππ₯ + π£ ππ’ ππ₯, to determine the derivative of products of functions involving power and polynomial functions.
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Use the chain rule, if π¦ = π(π’) and π’ = π(π₯) then ππ¦ ππ₯ = ππ¦ ππ’ Γ ππ’ ππ₯, to determine the derivative of composite functions involving power and polynomial functions.
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Use the quotient rule, π(π’ π£) ππ₯ = π£ππ’ ππ₯βπ’ππ£ ππ₯ π£2, to determine the derivative of quotients of functions involving power and polynomial functions.