Start by pressing RESET and then check the box for f(x) to see its graph in blue.[br]Examine the graph of this function. Experiment with different values of the constant base b.[br][br]Check on Tangent Line to see the graph of the tangent line at (a, f(a)), where a is controlled by the slider or input box. [br][br]Check on Graph Shape? and answer the questions there about the shape of the graph and the shape of its derivative graph. Again, experiment with different values of b.[br][br]Uncheck Graph Shape? and check f '(x) and Graph Conclusions.[br][br]Uncheck Graph Conclusions and check Ratio. [br]Uncheck Ratio and check Derivative Formula.[br]Check Proof to see the proof.[br][br][br]