IB skill practice

Use implicit differentiation in context

Differentiate an implicit relationship to calculate a contextual rate.

Paper 1, Paper 2 5 marks Difficulty 5

Use implicit differentiation in context - scenario calculation

A renewable energy trial relationship satisfies \(x^{2}+y^{2}=c\). At \(x=6\), \(y=5\), and \(\frac{dx}{dt}=4\), find \(\frac{dy}{dt}\). Confirm the interpretation before entering the result. Enter the requested value and choose the interpretation that matches the result.

Worked practice: result and interpretation

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