Applications of Calculus

Compute horizontal, vertical or slant asymptotes.

Compute asymptotes of a function:

Compute a tangent line to a curve or compute a tangent plane or a normal line to a surface.

Find the tangent to the graph of a function at a point:

Find the normal to a curve specified by an equation:

Compute and visualize cusps and corners of a function.

Find cusps on the graph of a function:

Find corners on the graph of a function:

Compute and visualize stationary points of a function.

Locate stationary points of a function:

Find stationary points of a function of several variables:

Compute and visualize inflection points of a function.

Locate inflection points of a function:

Find inflection points in a specified domain:

Find global and local extrema and stationary points of functions or impose a constraint on a function and compute the constrained extrema.

Minimize or maximize a function:

Minimize or maximize a function of several variables:

Minimize or maximize a function subject to a constraint:

Compute the areas of enclosed regions, bounded regions between intersecting points or regions between specified bounds.

Compute the area bounded by two curves:

Specify limits on a variable:

Compute arc lengths in various coordinate systems and dimensions.

Compute the arc length of a curve:

Compute the area of a surface of revolution or compute the volume of a solid of revolution.

Compute properties of a surface of revolution:

Compute properties of a solid of revolution:

Compute the curvature of functions and parameterized curves in various coordinate systems and dimensions.

Compute the curvature of a plane curve:

Compute the curvature of a space curve at a point:

Compute and visualize saddle points of a function.

Locate saddle points of a function:

Find the saddle point nearest to a specified point: