Question 4 - A-Level Maths

Exam Board	OCR
Module	PURE
Topic	Indefinite & Definite Integrals

4 A curve has equation \(y = \mathrm { e } ^ { 3 x }\).

Determine the value of \(x\) when \(y = 10\).
Determine the gradient of the tangent to the curve at the point where \(x = 2\).