Derivative and Tangent of Sin(x)
Click here for the applet
1. Insert the function f(x) = sin(x) into the input field and press enter key.
2. Create a point A on f.
3. Use the tool Tangents and click on the point A and on the function f. Change the tangents name to t
4. Type the command s = Slope[t] into the input field and press enter key. Use the move tool to drag the point A with the mouse and observe the movement of the tangent.
5. Type B = (x(A), s) into the input field and press enter key.
6. Right click on the new point B and give tick mark (switch on ) on Trace on button.
7. Use the move tool and drag A with the mouse. Then B will leavea trace.
8. Type the command Derivative[f] into the input field.
9. Use the move tool and drag A with the mouse and observe the movement.
10. Save the construction.