Power Maths
Grateful thanks to David A Smith for his encouragement and to Lana Holden for the Java applet

For your chosen power and point location enter values of A, B, C and x in this table Repeat this routine for all the other powers

Confirm that equations A/B = n and x/c = n are true for graphs of y = x^{ n} (n = 2, 3, 4, 5) Assume that this holds for all values of x and n


Use A/B = n to deduce the Integral Power Rule Hint: The area of the rectangle is both a sum and a product


Use x/c = n to deduce the Differential Power Rule Hint: The gradient of the curve and its tangent are equal
