IB Maths AI SL 5.4 Tangents and normals Question Bank

Practise IB Maths AI SL 5.4 by finding tangent and normal lines and interpreting their gradients in context.

Exam points

Find a tangent gradient from the derivative and use a perpendicular gradient for the normal.
Interpret tangent and normal equations for curves and real-world models.

[Maximum number: 2]

Consider the graph of the cubic function $f(x)=x^{3}+2 x^{2}-4 x-2$ . Part of the graph of y=f(x) is shown in the following diagram.

Write down

the equation of the tangent.

$\quad y+3=3(x-1)$ OR y=3 x-6

All question bank results loaded