IB skill practice

Interpret slope fields and solution curves

Use differential equation slope information to interpret solution curve behaviour.

Paper 1, Paper 2 5 marks Difficulty 5

Interpret slope fields and solution curves - visual exact value

For the slope field \(\frac{dy}{dx}=-2x-1\), find the slope at \(x=3\).

Worked practice: result and interpretation

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