Assume that the centroid of the cup plus coffee is represented by the function of the depthy (in cm) of the coffee in the cup:

f(y)=7(3+0.5)² -64+y²/2(3+0.5)² -16+2y where 0< y < H

Calculate the optimal depthyof the coffee in your cup. (HINT: the centroid function is lowest when f'(y)=0.) Round your answer to the nearest whole number.

can you show me how to solve this?