slope of tangent
Introduction
The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of function at that point.
User Guideline -
1.Construct the polynomial f(x) = x^2/2 + 1,
2.Create new point A on function f(x),
3.Create tangent t on function through point A by input t=Tangent(A,f) in input bar,
4.Create slope of tangent by input m=Slope[t] in input bar,
5.Define point B by input B=(x(A).m) in input bar,
6.Join point A and B,
7.Trace on for point B,
8.To visualize derivative of slope of tangent,drag the point A.
Learning Objective:-
- Students will be able to define the derivative of slope of tangent with example.
Dynamic Applet-
Test your Understanding-
When we drag the point then the slope of tangent is Dynamic ?
Zde označte odpověď(i)
- A
- B
Create dynamic applet on derivative of slope of tangent by using following protocol.
- Enter the polynomial f(x) = x^2/2 + 1,
- Create a new point A on function f. Hint: Move point A to check if it is really restricted to the
- function,
- Create tangent t to function f through point A. t=Tangent(A,f),
- Using Input Box,
- create slope of tangent t using: m = Slope[t],
- Define point B: B =(x(A), m) Hint: x(A) gives the x-coordinate of point A,
- Connect points A and B using a segment,
- Trace On for the point B,
- Perform the drag test to visualize the derivative as slope of tangent.