Differentiation is the process of finding the gradient of a curve. Recall that the gradient is a measure of steepness. The gradient on a straight line is constant but on a curve is always changing. Differentiation and Integration form a branch of mathematics known as Calculus. ## Differentiation in AS-Level Maths (from Sep 2017):

During the year that students study for an AS-Level in Maths, they will be required to cover the following topic areas in DIFFERENTIATION:

These topic areas will be tested in the Pure Mathematics paper – Paper 1. ## Differentiation in A-Level Maths (from Sep 2017):

In addition to the above, students studying for an A-Level in Maths will also be required to study the following areas in DIFFERENTIATION:

• Differentiate trigonometric functions from first principles. Understand the connection between the second derivative and convex/concave functions.
• Differentiate trigonometric and exponential functions.
• Use the product rule, quotient rule and chain rule.
• Implicit and parametric differentiation.
• Construct simple differential equations.

This is done over 2 years and these additional topic areas will be tested in Pure Mathematics Paper 2.