The length of the side of a square sheet of metal is increasing at the rate of . The rate at which the area of the sheet is increasing when the length of its side is , is
Find the rate at which the area of the square sheet is increasing
Let the side of the square be
The area of the square
Differentiating with respect to time
So, the area is increasing at a rate of when the side of the square is .
Hence option is the correct answer.