# Thread: Differentiation of a Polynomial is a Polynomial?

1. ## Differentiation of a Polynomial is a Polynomial?

Let p(t) = (q(t)^m)* r(t), where q and r are polynomials and m is a positive integer prove that p'(t) = [q(t)^(m - 1)]* s(t), where s is a polynomial.

Need help solving this.

2. What do you get when differentiating p(t)?