Question 3 - A-Level Maths

Exam Board	OCR
Module	C3 (Core Mathematics 3)
Topic	Differentiation Applications
Type	Tangent parallel to given line

3. A curve has the equation \(y = ( 3 x - 5 ) ^ { 3 }\).

Find an equation for the tangent to the curve at the point \(P ( 2,1 )\). The tangent to the curve at the point \(Q\) is parallel to the tangent at \(P\).
Find the coordinates of \(Q\).