When point P is moved along the curve these values change:

      The area of the rectangle above the curve  ( A )

      The area of the rectangle below the curve  ( B )

      The base of a right triangle on the tangent ( C )

      The horizontal coordinate of point P          ( x  )   

What is the surprising relationship that exists between A & B ?

What does this have to do with the relationship between C & x ?

And how do these relationships lead to the calculus power rules?

To find the answers to these questions go to Investigation