Examples for

Inflection Points

An inflection point is a point on a function where the curvature of the function changes sign. Stationary points that are not local extrema are examples of inflection points. Use Wolfram|Alpha to explore how the concavity of functions changes at inflection points.

Inflection Points

Find the points of inflection on a curve.

Locate the inflection points of a function:

inflection points (x^5+x^9-x-1)^3
inflection points of x+sin(x)
inflection points (x-1)(x-2)(x-3)(x-3.2)

Find the inflection points in a specified domain:

inflection points of e^sin(x^3)-1 with -2<=x<=2

Find the inflection point nearest to a specified point:

inflection point of sin^3(t) near t=100

GO FURTHER

Step-by-Step Solutions for Applications of Calculus

RELATED EXAMPLES

  • Curvature
  • Derivatives
  • Plotting & Graphics
  • Saddle Points
  • Stationary Points