Learning Lab

Develop your maths skills in the area of differentiation in mathematical functions.

• D1 Limit of a function

  Learn how to find limits of functions.

• D2 Gradients, tangents and derivatives

  Learn how to find the gradient of a curve at a particular point and so find the tangent to the curve at the point.

• D3 Differentiation from first principles

  Learn how to take a derivative of a function using first principles.

• D4 Rules for differentiation

  What are the rules of differentiation and how do we use them? Differentiation using common established rules (not needing to use first principles).

• D5 The chain rule

  Learn how to use the chain rule to take derivatives of composite functions.

• D6 The product rule

  Learn how to differentiate a function that comprises one function multiplied by another function.

• D7 Quotient rule

  Learn how to differentiate a function that comprises one function divided by another function.

• D8 Maxima and minima

  Learn how to find the maximum or minimum values of a function or graph.

• D9 Curve sketching (PDF)

• D10 Rates of change (PDF)

• D11 Small changes and approximations (PDF)

• D12 Implicit differentiation (PDF)

• D13 Partial differentiation (PDF)