June 2023 Paper 3 Q3

3 A curve with equation \(y = \mathrm{f}(x)\) passes through the point \((3, 7)\)

Given that \(\mathrm{f}^{\prime}(3) = 0\) find the equation of the normal to the curve at \((3, 7)\)

Circle your answer. [1 mark]

• \(y = \frac{7}{3}x\)
• \(y = 0\)
• \(x = 3\)
• \(x = 7\)