$\"\"$

\

Side of a square is increasing at a rate of $\"\"$ cm/sec and the area of a square is $\"\"$ cm² .

\

Assume side of a square as $\"\"$ .

\

Area of a square is $\"\"$ .

\

The area of a square is $\"\"$ cm² .

\

$\"\"$

\

$\"\"$ .

\

Side of the square is $\"\"$ cm.

\

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 $\"\"$

\

$\"\"$ $\"\"$

\

$\"\"$ .

\

$\"\"$ .

\

$\"\"$

\

Rate of increase of side of square is $\"\"$ .

\

$\"\"$ .

\

Substitute $\"\"$ , $\"\"$ in the $\"\"$

\

$\"\"$

\

$\"\"$ .

\

Rate of change of area $\"\"$

\

$\"\"$

\

Area of the Square is increasing at a rate of $\"\"$