Solve īPRC12coMīƮMīƮӽüC2G

$$ī PRC12coM ī Ʈ Mī Ʈ ӽ ü C2G$$

Evaluate

$$C_{2}C_{12}GPRcoüӽī^{3}\left(MƮ\right)^{2}$$

Solution Steps

Multiply ī and ī to get ī^{2}.

$$ī^{2}PRC_{12}coMƮMīƮӽüC_{2}G$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$ī^{3}PRC_{12}coMƮMƮӽüC_{2}G$$

Multiply M and M to get M^{2}.

$$ī^{3}PRC_{12}coM^{2}ƮƮӽüC_{2}G$$

Multiply Ʈ and Ʈ to get Ʈ^{2}.

$$ī^{3}PRC_{12}coM^{2}Ʈ^{2}ӽüC_{2}G$$

Differentiate w.r.t. P

$$C_{2}C_{12}GRcoüӽī^{3}\left(MƮ\right)^{2}$$