IB Maths AI SL 5.4 Tangents and Normals notes explain how differentiation gives the gradient of a curve and how to find equations of tangent and normal lines. These student notes support IB Mathematics: Applications and Interpretation SL calculus lessons, revision and independent practice.
Students follow the steps for identifying a point on a curve, differentiating a function, finding the gradient at a given x-value and using point–slope form to write a tangent equation. The notes also explain how to find the normal gradient using perpendicular lines, with worked examples, reminders about common sign and reciprocal errors, and graphing technology checks.
Use alongside the companion resources:
Key topics: derivatives, gradient of a curve, tangent equations, normal equations, point–slope form, perpendicular gradients and IB Maths AI SL Topic 5.4.
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