Moderate -0.3 This is a straightforward calculus application requiring differentiation of a composite function (chain rule with square root), evaluating the derivative at a point, finding the normal gradient, and writing the line equation in the required form. While it involves multiple steps, each is routine for A-level Further Maths students, making it slightly easier than average overall.
In this question you must show detailed reasoning.
Find the equation of the normal to the curve \(y = 4\sqrt{x - 3x + 1}\) at the point on the curve where x = 4. Give your answer in the form \(ax + by + c = 0\), where \(a\), \(b\) and \(c\) are integers. [7]
In this question you must show detailed reasoning.
Find the equation of the normal to the curve $y = 4\sqrt{x - 3x + 1}$ at the point on the curve where x = 4. Give your answer in the form $ax + by + c = 0$, where $a$, $b$ and $c$ are integers. [7]
\hfill \mbox{\textit{SPS SPS FM 2023 Q4 [7]}}