X and y are The Sides Of Two Squares Such That y = x – x2. Find The Rate Of Change Of The Area Of The Second Square With Respect To The First Square.

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Question

x and y are the sides of two squares such that y = x – x2. Find the rate of change of the area of the second square with respect to the first square.

Solution

Correct option is

iven x and y are sides of two squares thus the area of two squares are x2and y2  

  

Where the given curve is,  

                                  y = x – x2  

   

  

   

  

The rate of change of the area of second square with respect to first square is (2x2 – 3x + 1). 

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