Applications of the Second Derivative What applications of the second derivative do I need to know? The?second order derivative?(or simply?second derivative) is encountered at AS level At AS level ...
Differentiating Reciprocal and Inverse Trig Functions How do I differentiate the reciprocal trigonometric functions? The formulae for the derivatives of the reciprocal trigonometric functions are: ...
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Quotient Rule What is the quotient rule? The quotient rule is a formula that allows you to differentiate a?quotient of two functions?(ie one function divided by another) If ?where?u?and?v?are funct...
Product Rule What is the product rule? The product rule is a formula that allows you to differentiate a?product of two functions If ?where?u?and?v?are functions of?x?then the product rule is: In?fu...
Chain Rule What is the chain rule? The chain rule is a formula that allows you to differentiate?composite functions If?y?is a function of?u, and?u?is a function of?x, then the?chain rule?tells us t...
Differentiating Other Functions (Trig, ln & e etc) How do I differentiate common functions? These are the common results How do I differentiate exponentials and logarithms? The two basic differ...
First Principles Differentiation - Trigonometry How do I derive the derivatives of trigonometric functions from first principles? Recall that for a function?f(x)?the definition of the?derivative fr...
Modelling with Differentiation inc. Optimisation How can I use differentiation to solve modelling questions? Derivatives can be calculated for any variables – not just?y?and?x In every case the der...
