Differentiation - IGCSE Maths Definition

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What is differentiation in IGCSE maths?

In IGCSE maths, differentiation is the process of finding the rate at which a function changes at a given point by calculating the derivative.

The derivative is also known as the gradient function and represents the gradient (or slope) of the function's graph at a particular point.

The gradient function is written as fraction numerator straight d y over denominator straight d x end fraction.

The general rule of differentiation is:

For a function in the form of a power of x:

y equals a x to the power of n

the gradient function is:

fraction numerator straight d y over denominator straight d x end fraction equals n a x to the power of n minus 1 end exponent

Differentiation is useful for determining how one quantity changes in relation to another, such as speed, acceleration, or cost. This enables you to solve problems involving motion, growth, and optimisation, which are essential topics in mathematics and its real-world applications.

Differentiation revision resources to ace your exams

You can find out more about differentiation and how it can be used, by reading our revision notes. To test your knowledge, try our exam questions in the differentiation section.

For quick-fire IGCSE maths revision, use our collection of interactive flashcards for IGCSE maths. We also have past papers for your exam practice.

Explore our IGCSE maths revision resources

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Amber

Reviewer: Amber

Expertise: Maths

Amber gained a first class degree in Mathematics & Meteorology from the University of Reading before training to become a teacher. She is passionate about teaching, having spent 8 years teaching GCSE and A Level Mathematics both in the UK and internationally. Amber loves creating bright and informative resources to help students reach their potential.

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