Convex, concave curves and points of inflection (new A level maths)

This 11-page resource covers all the required knowledge and techniques for determining if curves are convex/concave and finding points of inflection, as required for the new A level. In each section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included).

The sections/topics are:

1.Convex and concave curves
(a) determine from a sketch if curve is convex, concave or neither
(b) find the values of x for which a graph is convex (or concave)
© show algebraically that a function is convex (or concave)

2.Points of inflection
(a) find the point(s) of inflection on a graph
(b) determine whether a point of inflection is stationary or non-stationary
© show that a curve has no points of inflection
(d) use point(s) of inflection to determine the values of x for which a curve is convex (or concave)

This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. Answers to all exercises are included.

Here is an example of one of my A level resources that is freely available:

https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186