5. The diversity of a population that contains two species can be measured by the Gini- Simpson diversity index. If the fraction of organisms from species 1 is p, then the diversity is given by: H(p ) = 2p(1 - p). (a) (8 points) Find H'(p). (b) (8 points) For what value of p does H'(p) = 0? (c) (8 points) Find equation of the tangent line to the curve of H(p) at p = 1. CT