Tangent Line at a Point of a Function - Maple Programming Help

Tangent Line at a Point of a Function

 Description Calculate the equation of the tangent line through a specified point for a univariate function.

Enter the function as an expression.

 > ${\left({{ⅇ}}^{{x}}\right)}^{{2}}$
 ${\left({{ⅇ}}^{{x}}\right)}^{{2}}$ (1)

Specify a point, and then calculate the equation of the tangent line.

 > $\mathrm{Student}\left[\mathrm{Calculus1}\right]\left[\mathrm{Tangent}\right]\left(,{x}{=}{0}\right)$
 ${2}{}{x}{+}{1}$ (2)

Alternatively, you can use the Tangents tutor, a point-and-click interface. There are two ways to launch this tutor.

 • From the Tools menu, select Tutors, Calculus - Single Variable, and then Tangents.
 • Enter a univariate function below, then click the following Tangents button.
 > $\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}$ 
 Commands Used