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You learn how to find the rate of change of simple algebraic expressions. This helps you work out slopes, simplify motion and growth problems, and prepare for later calculus work.
You should be comfortable with powers, coefficients, and basic algebraic notation. It also helps to know how to simplify expressions and read function notation.
One question from this skill's own question bank, shown with its full working.
Differentiate y = x³ with respect to x.
Working: d/dx(xⁿ) = n x^(n−1), so d/dx(x³) = 3x².
This topic normally appears early in university and tertiary foundation calculus, before more advanced topics such as integration and differential equations. It also supports later coursework and professional entrance tests that check basic algebraic differentiation.
Curriculum notes are a general guide to where this work normally sits. Always check the syllabus your school or examination body is currently using.
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6 questions with a worked answer after every attempt, and a SmartScore that tracks how close you are to mastery.