Determine the matrix representation [T]CB (C is supposed to be the subscript and B the superscript here, sorry) for the linear transformation T and ordered bases B and C.

T: P3 --> P2 given by T(p(x)) = p’(x),

B = {1, x, x^2, x^3}; C = {1, x, x^2}

I really have no idea how to proceed - the textbook is not being very helpful. I would appreciate an explanation rather than a solution, since I have many more of these problems to do. I hope someone can help!