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From Applied Science
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- 20:25, 24 January 2022 Wikiadmin talk contribs uploaded File:Derivative secant.png
- 19:23, 24 January 2022 Wikiadmin talk contribs deleted page File:Derivative riserun.png (Deleted old revision 20220124192301!Derivative_riserun.png)
- 19:23, 24 January 2022 Wikiadmin talk contribs uploaded a new version of File:Derivative riserun.png
- 17:35, 24 January 2022 Wikiadmin talk contribs created page File:Derivative riserun.png
- 17:35, 24 January 2022 Wikiadmin talk contribs uploaded File:Derivative riserun.png
- 17:27, 24 January 2022 Wikiadmin talk contribs created page File:Derivative tangent.png
- 17:27, 24 January 2022 Wikiadmin talk contribs uploaded File:Derivative tangent.png
- 14:03, 24 January 2022 Wikiadmin talk contribs created page Mistakes regarding derivatives (Created page with "==Regarding the chain rule== * <math>\frac{d}{dx} \sin(x^2) \neq \cos(2x)</math>. This silly mistake is a result of misunderstanding the chain rule. Better say, from trying to memorize it without understanding it. The chain rule says that <math>f(g(x))' = g'(x)f'(g(x))</math> and not <math>f(g(x))' = f'(g'(x))</math>. The correct answer is: <math>2x \cos(x^2)</math> * <math>\frac{\partial}{\partial x} \sin(x + y) \neq \cos(x)</math>. * <math>\frac{\partial}{\partial x...")
- 03:42, 24 January 2022 Wikiadmin talk contribs created page Defining the derivative (Created page with "Before I discuss it I should point out one confusion that has happened to me. Every textbook discusses the problem of finding a tangent line before defining the derivative of a function. If you ever watched a video on that, maybe the music video ''"I'll derive"'', you should have witnessed a tangent line behaving like a roller-coaster, riding over the graph of a function. Careful there! The tangent line is one thing. The derivative of a function is not the tangent line!...")
- 03:02, 24 January 2022 Wikiadmin talk contribs created page File:Limit xybounded.png
- 03:02, 24 January 2022 Wikiadmin talk contribs uploaded File:Limit xybounded.png
- 03:02, 24 January 2022 Wikiadmin talk contribs created page File:Limit 1x.png
- 03:02, 24 January 2022 Wikiadmin talk contribs uploaded File:Limit 1x.png
- 00:53, 24 January 2022 Wikiadmin talk contribs created page File:Limit paths.png
- 00:53, 24 January 2022 Wikiadmin talk contribs uploaded File:Limit paths.png
- 02:49, 23 January 2022 Wikiadmin talk contribs created page MediaWiki:Timeless.css (Created page with "All CSS here will be loaded for users of the Timeless skin: li { margin-bottom: 1em; } .vector-body p { margin: 1em 0; } .big { font-size: 1.35em; } .mwe-math-fallback-image-inline { font-size: 1.15em; }")
- 23:10, 22 January 2022 Wikiadmin talk contribs created page File:Limit two variables.png
- 23:10, 22 January 2022 Wikiadmin talk contribs uploaded File:Limit two variables.png
- 23:09, 22 January 2022 Wikiadmin talk contribs created page Limit and continuity of a multivariable function (Created page with "The basic concept remains the same. However, with 2D things are more complicated than in 1D. In 1D you either walk forwards or backwards. In 2D you can circle around a point, meaning that, sometimes, the limit may not exist in one direction while it does exist in another. In 3D think about optical illusions. An object may appear continuous from one angle, yet it's discontinuous from another. One such example is the ''Penrose triangle''. For one variable we take one step...")
- 16:26, 22 January 2022 Wikiadmin talk contribs created page File:0k logo.png
- 16:26, 22 January 2022 Wikiadmin talk contribs uploaded File:0k logo.png
- 21:55, 21 January 2022 Wikiadmin talk contribs deleted page File:Dom ex0.png (Deleted old revision 20220121215521!Dom_ex0.png)
- 21:55, 21 January 2022 Wikiadmin talk contribs uploaded a new version of File:Dom ex0.png
- 21:55, 21 January 2022 Wikiadmin talk contribs undeleted page File:Dom ex0.png (1 revision and 1 file)
- 21:53, 21 January 2022 Wikiadmin talk contribs deleted page File:Dom ex0.png
- 21:52, 21 January 2022 Wikiadmin talk contribs created page Examples of domain of a multivariable function (Created page with "{| class="wikitable" |- | style="padding: 1em; text-align: center;" | file:dom_ex0.png || style="padding: 1em;"| <math>f(x,y) = xy</math>. Both <math>x</math> and <math>y</math> can assume any real value. Therefore the domain is <math>\mathbb{R}^2</math>. |- | style="padding: 1em; text-align: center;" | file:dom_ex1.png || style="padding: 1em;"| <math>f(x,y) = \sqrt{x} + \sqrt{y}</math>. It's analogous to a single variable. Domain is <math>\{(x, \ y) \in \mathbb{...")
- 21:36, 21 January 2022 Wikiadmin talk contribs created page Examples of domain of a single variable function (Created page with "{| class="wikitable" |- | style="padding: 1em;"> | <math>f(x) = x^2</math> || style="padding: 1em;" | There is no restriction to which numbers we can calculate the square of. Any rational or irrational will do. i.e. The domain is all real numbers. |- | style="padding: 1em;"> | <math>f(x) = \sqrt{x}</math> || style="padding: 1em;" | We all learn at school that roots of negative numbers are complex numbers. Therefore, the domain is <math>\{x \in \mathbb{R} : x \geq 0\}</ma...")
- 20:44, 21 January 2022 Wikiadmin talk contribs created page File:Levelsurface xplane.png
- 20:44, 21 January 2022 Wikiadmin talk contribs uploaded File:Levelsurface xplane.png
- 20:42, 21 January 2022 Wikiadmin talk contribs created page File:Levelsurface tube.png
- 20:42, 21 January 2022 Wikiadmin talk contribs uploaded File:Levelsurface tube.png
- 20:42, 21 January 2022 Wikiadmin talk contribs created page File:Levelsurface cone.png
- 20:42, 21 January 2022 Wikiadmin talk contribs uploaded File:Levelsurface cone.png
- 20:41, 21 January 2022 Wikiadmin talk contribs created page File:Levelsurface sphere.png
- 20:41, 21 January 2022 Wikiadmin talk contribs uploaded File:Levelsurface sphere.png
- 20:41, 21 January 2022 Wikiadmin talk contribs created page File:Levelsurface flat.png
- 20:41, 21 January 2022 Wikiadmin talk contribs uploaded File:Levelsurface flat.png
- 17:52, 21 January 2022 Wikiadmin talk contribs created page File:Levelcurve xy.png
- 17:52, 21 January 2022 Wikiadmin talk contribs uploaded File:Levelcurve xy.png
- 14:11, 21 January 2022 Wikiadmin talk contribs deleted page File:Dom .ex0.svg
- 14:10, 21 January 2022 Wikiadmin talk contribs created page File:Dom .ex0.svg
- 14:10, 21 January 2022 Wikiadmin talk contribs uploaded File:Dom .ex0.svg
- 00:45, 21 January 2022 Wikiadmin talk contribs moved page Examples of level curves and level surfaces to Examples of level curves without leaving a redirect
- 00:44, 21 January 2022 Wikiadmin talk contribs created page Examples of level surfaces (Created page with "==Examples of level surfaces== It's really easy to confuse the level surface of a function of three variables with the graph of a function of two variables! Careful here! In 3D we can have the axis in any order that we want. For this type of exercise we aren't concerned with what process that function is associated to. Our only concern here is with //"what side is up?"//. The level surfaces were hand drawn in inkscape with no scale at all. table row cell styl...")
- 00:43, 21 January 2022 Wikiadmin talk contribs created page Examples of level curves and level surfaces (Created page with "==Level curves== {| class="wikitable" | colspan="2" style="text-align: center;" | '''Examples''' |- | style="padding: 1em;" | <math>f(x,y) = x^2 + y^2</math> 300px || Make the function equal to a constant <math>f(x,y) = 1</math>. Then <math>1 = x^2 + y^2</math>. If you know the equation of a circle it should be obvious that this is the equation of a circle with radius = 1. Choose <math>x = 0</math> and you get <math>y = \pm \sqrt{1}</math...")
- 23:48, 20 January 2022 Wikiadmin talk contribs created page Calculus practice (Created page with "# Examples of level curves and level surfaces")
- 19:34, 20 January 2022 Wikiadmin talk contribs created page File:Dom line.svg
- 19:34, 20 January 2022 Wikiadmin talk contribs uploaded File:Dom line.svg
- 18:12, 20 January 2022 Wikiadmin talk contribs created page File:Limit squeeze.png
- 18:12, 20 January 2022 Wikiadmin talk contribs uploaded File:Limit squeeze.png