IB skill practice

Use implicit second derivatives

Find and interpret second derivatives from implicit relationships.

Paper 1, Paper 2 5 marks Difficulty 4

Use implicit second derivatives - visual implicit second derivative item

Case B6. For \(x^{2}+y^{2}=5^{2}\), use the marked point \((0,-5)\). Enter \(d^{2}y/dx^{2}\).

Worked practice: result and interpretation

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