Matric Maths Derivatives: Every Rule You Need for Paper 1

Every differentiation rule in the Grade 12 CAPS syllabus, worked like a real Paper 1: first principles step by step, the power rule, and the rewrite trick for roots and fractions. Every worked example shows where the marks go, plus the mistakes markers see all the time. Pause at the practice question and try it before the memo appears. The last chapter is a one-page cheat sheet you can screenshot. 0:00 First principles vs the rule 0:25 What a derivative is 0:52 First principles, step by step 2:30 Power rule 3:38 Rewrite roots and fractions first 4:44 Practice question 5:24 Cheat sheet WHAT'S COVERED • First principles: f'(x) = lim h→0 [f(x+h) − f(x)] / h, worked for f(x) = 2x² − 3x (5 marks) • The notation mark: write "lim h→0" on every line until the h is gone • The power rule, constants, sums and differences • Rewriting first: √x = x^(1/2), 1/xⁿ = x⁻ⁿ, multiplying out brackets, dividing by a single-term denominator • The 1/x² mistake PRACTICE ANSWER 3.5 y = 6√x − 2/x³ + 5 → dy/dx = 3/√x + 6/x⁴ Going to university? The full version adds the product, quotient and chain rules: Derivative Rules Explained (on my channel). Music and sound effects made for this video. Fonts: Fraunces, JetBrains Mono, Noto Serif (SIL Open Font License).