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...
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...
