1

Choose a  power of x, drag the point along the curve and note the values of A, B, C and x  at any point on the curve. Repeat for the other powers and tabulate your results.

2

Express 'n' in terms of A and B and hence deduce the Integral Power Rule. Click the Integral button if you need help.

3

Express 'n' in terms of C and x and hence deduce the Differential Power Rule. Click the Differential button if you need help.