Concavity of a Function What is concavity? Concavity?is the way in which a?curve?(or surface)?bends Mathematically, CONCAVE?DOWN?is often called?concave CONCAVE?UP?is often called?convex Exa...
Stationary Points & Turning Points What is the difference between a stationary point and a turning point? A?stationary point?is a point at which the?gradient function?is equal to zero The?tange...
Second Order Derivatives What is the second order derivative of a function? If you?differentiate?the?derivative?of a?function?(i.e. differentiate the function a second time) you get the?second orde...
Related Rates of Change What is meant by rates of change? A?rate?of?change?is a measure of how a quantity is changing with respect to another quantity Mathematically rates of change are?derivatives...
Chain Rule What is the chain rule?How do I know when to use the chain rule? How do I use the chain rule? Are there any standard results for using chain rule? Exam Tip You should aim to be able to s...
Differentiating Trig Functions How do I differentiate sin, cos and tan?These last three results can be derived using the?chain rule For calculus with trigonometric functions angles must be measured...
Modelling with Differentiation What can be modelled with differentiation? Recall that?differentiation?is about the?rate?of?change?of a function and provides a way of finding?minimum?and?maximum?val...
Increasing & Decreasing Functions What are increasing and decreasing functions? How do I find where functions are increasing, decreasing or stationary? To identify the?intervals?on which a func...
Introduction to Derivatives Before introducing a?derivative, an understanding of a?limit?is helpful What is a limit? What might I be asked about limits?What is a derivative? How are limits and deri...
