GeoGebra offers a command for the tangent to a function f(x) at x = a. Type the following lines into the input field and press the Enter key after each line.
a = 3
f(x) = 2 sin(x)
t = Tangent[a, f]
By animating number a (see Animation) the tangent slides along the graph of function f.
Here is another way of getting the tangent to a function f in a certain point T.
a = 3
f(x) = 2 sin(x)
T = (a, f(a))
t: X = T + s (1, f'(a))
This gives us point T on the graph of f whereby tangent t is given in parametric form.
By the way, you can create the tangent of a function geometrically too:
·
Select mode New point
and click on the graph of function f to get a new point A that
lies on function f.
·
Select mode Tangents and
click successively on function f and on point A.
Now, select Move and
drag point A along the function with your mouse. In this way you can
observe the tangent changing dynamically too.
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