[list][*]Slowly drag the point to observe how the slope of the tangent segment changes.[/*][*]Active the box [b]Trace derivative[/b] to sketch the derivative.[/*][*]Calculate the derivative and enter your answer to check the result.[/*][*]Change the function f(x). Examples:[list][*](x-2)/(x^2-4x)[/*][*]exp(-x^2-1)[/*][*]sqrt(x^2+2)[/*][*]1/2sin(x-1)^2[/*][*]arctan(x/(x+1))[/*][/list][/*][/list]