Implicit Differentiation What is implicit differentiation? An equation connecting?x?and?y?is not always easy to write?explicitly?in the form?y=?f(x)?or?x?=?f(y) However you can still differentiate ...
Connected Rates of Change What are connected rates of change? In situations involving more than two variables you can use the?chain rule?to connect multiple rates of change into a single equation E...
Points of Inflection What is a point of inflection? At AS level you encountered points of inflection when discussing?stationary points When the sign of the first derivative (ie of the gradient) is ...
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: ...
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...
