Find the marginal product of different inputs or factors of production for each of the following production functions.

(a)(,)=62+3+22.

Here, the firm uses two inputs and to produce output. The marginal products are

and with

=(,)/.

The other marginal product can be defined in the same manner.

(b)(,)=0.522+2.

Here, the firm uses two inputs and

to produce output. The marginal products are

and.

These can be defined as in part (a) above.