A-level · Differentiation

Tangents and normalsExam-style questions

The straight lines that touch a curve, and the ones at right angles to it. Where a tangent's point and gradient come from; writing its equation in the form asked for; the normal and why its gradient is the negative reciprocal; finding the point where a tangent has a given gradient; where tangents and normals meet the axes; and where a tangent meets the curve again.

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15 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
Find an equation of the tangent to the curve

$y = (x - 3)^5$

at the point where $x = 0$

(3 marks)
Level 2 · 3 marksTry it