Find the first and second derivatives of the following functions (a) P P(V m ) RT(1 V m B V 2 m C V 3 m ) where R,B, and C are constants (b) G G(x) G RTx ln (x) RT(1 x) ln (1 x), where G , R, and T are constants (c) y y(x) a ln (x 1 3 ), where a is a constant ...

Find the first and second derivatives of the following functions: (a) P = P(V m ) =

Question:

Find the first and second derivatives of the following functions:
(a) P = P(V_m) = RT(1/V_m+ B/V²_m +C/V³_m) where R,B, and C are constants.
(b) G = G(x) = G^◦ + RTx ln (x) + RT(1 − x) ln (1 − x), where G^◦, R, and T are constants.
(c) y = y(x) = a ln (x^1/3), where a is a constant.