IB skill practice

Solve related rates problems

Connect changing variables and use derivatives to calculate related rates.

Paper 1, Paper 2 5 marks Difficulty 3

Solve related rates problems - visual substitution point

A ladder of length \(10\) has foot distance \(x=6\) and height \(y=8\). If \(\frac{dx}{dt}=2\), find \(\frac{dy}{dt}\).

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.