# Advanced Problem Solving Module 5

## Advanced Problem Solving Module 5

In this second calculus module, we share some of the theory behind certain calculus techniques and offer you the opportunity to practise some of the calculus skills you will need to be successful in STEP and other advanced mathematics examinations.

### Chain Rule

##### Stage: 5

Read a derivation of the chain rule for differentiation, and then use our Mathmo app to practise.

### The Product Rule

##### Stage: 5

Read a derivation of the Product Rule for differentiation, and then use our Mathmo app to practise.

### Integration and Differentiation Practice Questions

##### Stage: 5 Challenge Level:

Try this selection of differentiation and integration questions to practise choosing an appropriate technique.

### Curved Square

##### Stage: 5 Challenge Level:

Can you find the area of the central part of this shape? Can you do it in more than one way?

### Towards Maclaurin

##### Stage: 5 Challenge Level:

Build series for the sine and cosine functions by adding one term at a time, alternately making the approximation too big then too small but getting ever closer.