Given that \(\mathrm { f } ( x ) = x ^ { 2 } - 4 x + 2\), find \(\mathrm { f } ( 3 + h )\)
Express your answer in the form \(h ^ { 2 } + b h + c\), where \(b\) and \(c \in \mathbb { Z }\). [0pt]
[2 marks]
L
9
The curve with equation \(y = x ^ { 2 } - 4 x + 2\) passes through the point \(P ( 3 , - 1 )\) and the point \(Q\) where \(x = 3 + h\).
Using differentiation from first principles, find the gradient of the tangent to the curve at the point \(P\). [0pt]
[3 marks]