Examples for

The tools of calculus can be used in a variety of applications to compute properties and to describe the behavior of functions, curves, surfaces, solids and many other mathematical objects. Harness Wolfram|Alpha's comprehensive computational understanding of limits, derivatives and integrals to find asymptotes, tangents and normals of curves; compute arc length; find the singular and stationary points of functions; explore increasing and decreasing regions of curves; and beyond.

Compute horizontal, vertical or slant asymptotes.

Compute and visualize cusps and corners of a function.

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

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

Find and visualize where a curve is concave up or concave down.

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

Compute and visualize stationary points of a function.

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

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

Compute and visualize saddle points of a function.

Compute and visualize inflection points of a function.

Compute arc lengths in various coordinate systems and dimensions.

See and measure where a curve is monotonically increasing or decreasing.