The black dots correspond to the power function y=a^x, where a is the basis. E.g. for a=2 the function is y=a*a. The red line is the tangent to the power function trough the point (x,y)=(0,1). The big red dot is the slope of the tangent. Check out what happens if the tangent slope close to 0 or even negative! The shadowed red dots correspond to the slopes of the local tangents of the function. ----------------------------------------------------------------- Drag the mouse to control the direction of the tangent. The parameter a is adjusted such that the function fits to the tangent. Press space to draw the current function. Press button "a" to draw the power functions corresponding to parameters a=1,2,3,4
