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Mathematics · L4 · Derivative rules overview

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Overview diagram of derivative rules: power, product, quotient, chain, trig, and exp/log.

by @openstemUpdated Mathematics
Differentiate f(x)Power ruled/dx xⁿ = nxⁿ⁻¹Product rule(uv)′ = u′v + uv′Quotient rule(u/v)′ = (u′v−uv′)/v²Chain rule(f∘g)′ = f′(g)·g′Trig rules(sin x)′=cos x(cos x)′=−sin xExp/Log rules(eˣ)′=eˣ(ln x)′=1/xApplications:Optimisation, curve sketching

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