IB skill practice

Find tangent and normal equations

Find tangent and normal gradients and equations using derivatives at a point.

Paper 1, Paper 2 5 marks Difficulty 5

Input for a target tangent gradient

For \(f(x)=2x^{2}-4x+1\), find \(x\) when the tangent gradient is \(8\).

Worked practice: result and interpretation

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