Step 1:

Side of a square is increasing at a rate of 6 cm/sec and the area of a square is 16 cm² .

Assume side of a square as .

Area of a square is .

The area of a square is 16 cm² .

Rate of change of function is derivative of the the function with respect to

Rate of change of area is 

Power rule of derivative is

.

.

Step 2:.

Rate of increase of side of square is  .

Substitute , in the 

Rate of change of area

Solution:

Area of the Square is increasing at a rate of