题目

Problem

The equation of a curve is such that $\frac{dy}{dx} = 4(2x - 5)^3 - 9x^{\frac{1}{2}}$ . The curve passes through the point $A\left(4, -\frac{11}{2}\right)$ .

(a) Find the gradient of the normal to the curve at the point $A$ .

[2]

(b) Find the equation of the curve.

[4]

题目中文翻译

一条曲线满足 $\frac{dy}{dx} = 4(2x - 5)^3 - 9x^{\frac{1}{2}}$ 。该曲线经过点 $A\left(4, -\frac{11}{2}\right)$ 。

(a) 求曲线在点 $A$ 处的法线斜率。

[2]

(b) 求曲线方程。

[4]

CIE 9709 2025 June Paper 11 Q2

题目

解答