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• First derivative test
  ...test''': classify the [[critical point]]s based on change of the sign of [[derivative|f'(a)]] [[Image:first second derivative test.jpg]]
  3 KB (438 words) - 19:02, 7 August 2010
• Chapter 4: First Derivative Test
  #REDIRECT [[First Derivative Test]]
  35 bytes (4 words) - 17:46, 8 July 2011

Page text matches

• The derivative
  ...in on the point. What do we see exactly? There are two possibilities. The first one is, we might see point connected by straight edges: <!--200-->[[image:second derivative is computed with a spreadsheet.png| center]]
  75 KB (13,000 words) - 15:12, 7 December 2018
• Differential calculus
  ==Monotonicity, extreme points, and the derivative== ...words, this is where the slope of the tangent line is zero. But that's the derivative of our function. From the ''Power Formula'', we have:
  84 KB (14,321 words) - 00:49, 7 December 2018
• Calculus exercises: part I
  It's just a limit. But we recognize that this is the derivative of some function. We compare the expression to the formula in the definitio Now, find the derivative of $x\cdot e^{x}$ with PR: above set
  49 KB (8,436 words) - 17:14, 8 March 2018
• Differentiation
  Furthermore, the derivative is defined as a limit. Unlike the limits we saw prior to derivatives, this ...unctions differentiable at a point is differentiable at that point and its derivative is equal to the sum of their derivatives; i.e., for any two functions $f,g$
  82 KB (14,116 words) - 19:50, 6 December 2018
• Calculus of chain maps
  First, $f$ has to be a function that takes nodes to nodes: ...sure the continuity of the resulting curve, we plot the nodes of the graph first and then attach edges to them. Therefore, we require from the edge function
  41 KB (7,344 words) - 12:52, 25 July 2016
• Metric tensor
  ...ay the cells are attached to each other affects the matrix of the exterior derivative: ...ere we start to need geometry is when we move from the first to the second derivative.
  42 KB (7,131 words) - 17:31, 30 November 2015
• Differential calculus of parametric curves
  But first we consider the issue that lies at the heart of calculus: the rate of chang The first one is defined just as the common limit but instead of $t$ approaching some
  130 KB (22,842 words) - 13:52, 24 November 2018
• Calculus I, the discrete version
  <!--150-->[[image:first derivative and Monotonicity.png| center]] The first idea is illustrated below:
  64 KB (11,521 words) - 19:48, 22 June 2017
• Introduction to discrete calculus
  To get from here to the values of the area, we need first to extend $s$, as a function, from single edges to their combinations, $1$- ==The derivative of a $0$-cochain is a $1$-cochain==
  40 KB (6,983 words) - 19:24, 23 July 2016
• Geometry
  ...ay the cells are attached to each other affects the matrix of the exterior derivative: ...ere we start to need geometry is when we move from the first to the second derivative.
  41 KB (6,928 words) - 17:31, 26 October 2015
• The gradient
  ...e output space. The first column consists of all parametric curves and the first row of all functions of several variables. The two have one cell in common; ...ore, every continuous function is integrable and, therefore, is somebody's derivative. In this sense, the arrow can be reversed.
  74 KB (13,039 words) - 14:05, 24 November 2018
• Calculus on cubical complexes
  *the names of the cells are given in the first row; ..., are organized into vector spaces, one for each degree. Let's review this first.
  36 KB (6,218 words) - 16:26, 30 November 2015
• Discrete forms
  *the names of the cells are given in the first row; ..., are organized into vector spaces, one for each degree. Let's review this first.
  35 KB (6,055 words) - 13:23, 24 August 2015
• Freshman's introduction to discrete calculus
  <!--150-->[[image:first derivative and Monotonicity.png| center]] ==The derivative==
  42 KB (7,443 words) - 14:18, 1 August 2016
• Forms in Euclidean spaces
  *first we plot the curve (green) which is the restriction of our function $\varphi ...ply the restriction of the continuous form to the set of integers, for the first argument:
  44 KB (7,778 words) - 23:32, 24 April 2015
• ODEs
  ...le ''ordinary differential equations (ODEs)'' with respect to the exterior derivative $d$ that have explicit solutions. ...e point of view and consider only the structures that we actually ''use''. First, since ring $R$ has no topology that we use,
  47 KB (8,415 words) - 15:46, 1 December 2015
• Metric complexes
  ...o each other affects the matrix of the boundary operator (and the exterior derivative): ...( u , v)= \langle u , v \rangle $. Then $p$ is linear with respect to the first variable, and the second variable, separately:
  35 KB (5,871 words) - 22:43, 7 April 2016
• Applications of differential calculus
  Warning: the method fails when it reaches a point where the derivative is equal to (or even close to) $0$. The most important use of the latter notation is in the definition of the derivative:
  59 KB (10,063 words) - 04:59, 21 February 2019
• Series
  We first approximate the function with a ''constant'' function: ...pproximate a function around the point $(1,1)$ with ''constant'' functions first; from those we choose the horizontal line through the point. This line then
  113 KB (19,100 words) - 23:07, 3 January 2019
• Applications of integral calculus
  ...realize that we could produce the same result if we take the data from the first spreadsheet, $\sum_i f(c_i)\cdot.1$, and them subtract the data for the new ...n sum of the new function in terms of areas. It's as if the rectangles are first aligned with $y=f(x)$, then cut from below with $y=g(x)$, suspended in the
  103 KB (18,460 words) - 01:01, 13 February 2019

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