\text { Consider } f(x)=\frac{1}{3} x^{3}+x^{2}-3 x+2 graph of fis shown There is a maximum point at M, and a point of inflexion at N. a) Find f' (x). Find the x-coordinate of M. Find the x-coordinate of N. The line L is the tangent to the curve of f at x=3. Find the equation of L in the form y = ax + b.

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6

Fig: 7