1. A curve C has equation y=x^3 - 5x^2 + 5x +2

a) find dy/dx in terms of x

b)The points P and Q lie on C. The gradient of C at both p and q is 2. The x coordiante of P is 3.

i)Find the x coordinate of Q

ii)Find an equation for the tangest to C at P, giving your answer in the form of y =mx + c

iii)If this tangest intersects the coordinates axes at the points R and S find the length of RS giving your answer as a surd.