The applet on this page is designed to help you understand and visualize the differentials of exponential functions.
The general exponential function has the form: Ae^{Bx + C} + D, where e is the Euler Constant (= 2.71828....).
Varying A, B, C and D changes the curve. By investigating the effects of varying these different parameters, you should develop a feel for the way the differential function relates to the original function.

As the applet starts, you will not see the white function line. This is because of the fact that when y = e^x , then dy/dx also equals e^x, so the white line is hidden.
Sometimes you will see a grey line (asymptote) parallel to the x-axis. The rest of the instructions are easy to guess at, so I'll let you get on with it! A challenge! Pressing "Random Curve" will generate a differential curve in yellow. Try to cover the yellow curve with the cyan (light-blue) one by adjusting the parameters. It's not easy, but have a go!