Power Maths - Introduction

Find the integral power rule and the differential power rule indepenndently of each other

As point P moves its coordinates ( x, y ) change and so do these values :    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 ) What is the surprising relationship that exists between A and B ? What does this have to do with the relationship between C and x ? To find out, go to the investigation page.

With grateful thanks to David A Smith for his encouragement and to Lana Holden for the Java applet