Question: CHEMICAL REACTION In an autocatalytic chemical reaction, the product formed acts as a catalyst for the reaction. If Q is the amount of the original substrate present initially and x is the amount of catalyst formed, then the rate of change of the chemical reaction with respect to the amount of catalyst present in the reaction is
R(x) = kx(Q - x) (0 ≤ x ≤ Q)
Where k is a constant . Show that the rate of the chemical reaction is greatest at the point when exactly half of the original substrate has been transformed.