OCR MEI C2 — Question 3

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
TopicDifferentiation from First Principles

3 A and B are points on the curve \(y = 4 \sqrt { x }\). Point A has coordinates \(( 9,12 )\) and point B has \(x\)-coordinate 9.5. Find the gradient of the chord AB . The gradient of AB is an approximation to the gradient of the curve at A . State the \(x\)-coordinate of a point C on the curve such that the gradient of AC is a closer approximation.