An introduction to using the quotient rule

Identifying the correct rule to use

Differentiating the natural logarithm

Differentiating further exponentials

Using the chain rule within product rule problems.

An introduction to using the quotient rule

Finding the stationary points of a cubic with two turning points

Using the chain rule with polynomials.

Quotient and remainder, polynomial division.

More work on differentiation with trigonometric functions

More work on differentiation with fractional coefficients

Introduction to using the product rule

Using the chain rule with polynomials and negative powers.

A basic introduction to differentiation

More work on differentiation with fractional coefficients.

A portfolio of NUMBAS questions created for first year Natural Sciences students. The questions cover the topics: 

• Linear functions
• Quadratic functions
• Differentiation
• Integration
• Explonatial and logarithms 
• Further differentiation
• Further Integration
• Trigonometric Functions

This question focusses on being able to apply the 4 basic maths operations and also use the calculator effectively.

Points of intersection

Using BIDMAS rules to solve equations

Simplifying equations/collecting like terms

Rearranging equations/making x the subject

Solving equations for x

Writing equations

More work on differentiation with fractional coefficients.

More work on differentiation with trigonometric functions

Using the chain rule within product rule problems.