Compute properties of the tangent and normal lines to a curve at a given point
Contributed by:
Wolfram|Alpha Math Team
Examples
Basic Examples (2)
Compute the slope-intercept equations of the tangent and normal lines to a curve at a given point:
Visualize this result:
Compute the slope of these tangent and normal lines:
Compute the horizontal intercepts of these tangent and normal lines:
Get the standard-form equation of these tangent and normal lines:
Get an association of properties of the tangent and normal lines to a curve:
Get just the point-slope equations:
Scope (1)
The first argument to TangentAndNormalLine can be an implicit definition of a curve:
Properties and Relations (1)
If a tangent or normal line is parallel to a coordinate axis, its intercept with that axis is None:
Possible Issues (3)
If a position for y is not specified, information on only one of the possible normal lines at the given x value is returned:
Requesting tangent and normal lines information about a point that is not on the curve will result in an error message:
Vertical tangent lines (whose slope cannot be computed) are plotted as dotted lines. Some of their properties may not be defined:
If a function has a cusp or a discontinuity at the given point, no tangent or normal line is returned:
Publisher
Wolfram|Alpha Math Team
Related Links
Version History
-
2.0.0
– 23 March 2023
-
1.0.0
– 15 June 2021
Related Resources
Author Notes
To view the full source code for TangentAndNormalLine, evaluate the following: