$\"\"$

The curve equation is $\"\"$ .

The point is $\"\"$ .

The $\"\"$ -coordinate is $\"\"$ , then $\"\"$ .

The slope of the curve at any point $\"\"$ is twice the $\"\"$ -coordinate of $\"\"$ .

The slope of the curve : $\"\"$ .

The general form of change in growth rate function is $\"\"$ .

Compare the above two equations.

Here $\"\"$ .

Substitute $\"\"$ and $\"\"$ in the equation $\"\"$ .

The curve equation is $\"\"$ .

$\"\"$

The curve equation is $\"\"$ .