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) Exam Tip Worked Exam...
Product Rule What is the product rule? Exam Tip The product rule formulae are NOT in the formulae booklet – you need to know them. Don't confuse the product of two functions with a composite funct...
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...
