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Tangent to a 2D graph : tangent

See also : [*] for plane geometry and [*] for 3D geometry.
tangent takes two arguments : an geometric object and a point A.
tangent draws tangent(s) to this geometric object crossing through A. If the geometric object is the graph G of a 2D function, the second argument is either, a real number x0, or a point A on G. In that case tangent draws a tangent to this graph G crossing through the point A or through the point of abscissa x0.
For example, define the function g
g(x):=x^2
then the graph G={(x,y) $ \in$ $ \mathbb {R}$2, y=g(x)} of g and a point A on the graph G:
G:=plotfunc(g(x),x);
A:=point(1.2,g(1.2));
If we want to draw the tangent at the point A to the graph G, we will input:
T:=tangent(G, A)
or :
T:=tangent(G, 1.2)
For the equation of the tangent line, input :
equation(T)


next up previous contents index
suivant: Intersection of a 2D monter: Graph of a line précédent: Tangent to a 2D   Table des matières   Index
giac documentation written by Renée De Graeve and Bernard Parisse