Calculus – GCSE AQA Higher Further Maths revision notes

What this topic covers

Calculus has 9 subtopics, including:

• Know what the gradient function gives
• Know that the gradient of a function is the gradient of the tangent at that point
• Differentiation of kx^n and the sum of such functions
• The equation of a tangent and normal at any point on a curve
• Increasing and decreasing functions
• Understand and use the notation d^2y/dx^2

Calculus lessons by subtopic

11 lessons, grouped by subtopic.

Know what the gradient function gives

• Introduction to the Gradient Function

Know that the gradient of a function is the gradient of the tangent at that point

• Understanding Gradients and Tangents

Differentiation of kx^n and the sum of such functions

• Differentiating kx^n
• Simplifying and Differentiating

The equation of a tangent and normal at any point on a curve

• Finding Tangents and Normals

Increasing and decreasing functions

• Understanding Increasing and Decreasing Functions

Understand and use the notation d^2y/dx^2

• Introducing Second Derivatives

Use of differentiation to find maxima and minima points on a curve

• Finding Maxima and Minima Using Differentiation
• Determining the Nature of Stationary Points

Using calculus to find maxima and minima in simple problems

• Finding Maxima and Minima with Calculus

Sketch and interpret a curve with known maximum and minimum points

• Curve Sketching with Maxima and Minima

More in this course

Go back to the full GCSE AQA Higher Further Maths topic list, or practise this topic with past-paper questions.