Stationary Points
Stationary Points

Stationary Points

by Batool Akmal

In mathematics, particularly in calculus, a stationary point of a differentiable function of one variable is a point on the graph of the function where the function's derivative is zero. Informally, it is a point where the function "stops" increasing or decreasing (hence the name).

For a differentiable function of several real variables, a stationary point is a point on the surface of the graph where all of its partial derivatives are zero (equivalently, the gradient is zero).

Stationary points are easy to visualize on the graph of a function of one variable: they correspond to the points on the graph where the tangent is horizontal (i.e., parallel to the x-axis). For a function of two variables, they correspond to the points on the graph where the tangent plane is parallel to the xy-plane.

Course Details

  • Videos 9
  • Duration 1:04 h
  • Quiz questions 34
  • Concept Pages 0

Content

Your Educators of course Stationary Points

 Batool Akmal

Batool Akmal

Batool Akmal is the founder of A-level Maths Cardiff; a mathematics tuition and revision company in Wales, UK.
She obtained her Mathematics and Physics Degree, and Postgraduate Certificate in Education from Cardiff University.
She was the Director of the Honours Programme at St. David’s Catholic College from 2012 to 2016 and Head of Numeracy from 2017-2019.
Within Lecturio, Batool Akmal teaches courses on Calculus.


User reviews

(1)
5,0 of 5 stars
5 Stars
5
4 Stars
0
3 Stars
0
2 Stars
0
1  Star
0