Section 3.2 Questions and Comments (W) by Amanda Martin https://padlet.com/martina47/5z16bwhfmjve Differentiability en-us 2019-10-07 12:53:13 UTC 2019-10-09 11:48:21 UTC hello@padlet.com Read before you complete this assignment! martina47 https://padlet.com/martina47/5z16bwhfmjve/wish/394404618 As you read section 3.2, note any questions or comments you have about the text. What do you notice? What do you wonder? Post them under their relevant headings. You are encouraged to upvote questions or comments you also have, but that does not count as your unique question(s) or comment(s). You are also encouraged to respond to your peers, but always remember to be kind and instructive!

To exceed the standard on this homework, do some research around and post a resource relevant to the last column titled "Average vs Instantaneous Rate of Change". ]]> 2019-10-07 12:53:13 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/394404618 jane_dawson1 https://padlet.com/martina47/5z16bwhfmjve/wish/394512206 Does this mean that the entire function doesn’t have a derivative, or just a single point?

]]> 2019-10-07 15:16:55 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/394512206 jane_dawson1 https://padlet.com/martina47/5z16bwhfmjve/wish/394512521 How can you tell if a function will not have a derivative at a certain point without graphing it?

]]> 2019-10-07 15:17:22 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/394512521 jane_dawson1 https://padlet.com/martina47/5z16bwhfmjve/wish/394513427 If “corner” functions are continuous how come they don't have a derivative at a certain point?

]]> 2019-10-07 15:18:26 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/394513427 jane_dawson1 https://padlet.com/martina47/5z16bwhfmjve/wish/394513773 https://www.youtube.com/watch?v=J7VbhV_yp2U]]> 2019-10-07 15:18:46 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/394513773 jane_dawson1 https://padlet.com/martina47/5z16bwhfmjve/wish/394514123 So basically because the 2 points you use when finding the derivative are so close together the line they form is seen as linear?

]]> 2019-10-07 15:19:11 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/394514123 https://padlet.com/martina47/5z16bwhfmjve/wish/394924768 So differentiability is where a functions derivative exists at each point in the domain. If a function is differentiable at a point then it must be continuous at that same point. So basically if a function is differentiable it must also be continuous and if it is continuous it must be differentiable?]]> 2019-10-08 10:41:13 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/394924768 Leah Rusiecki https://padlet.com/martina47/5z16bwhfmjve/wish/395091837 https://www.khanacademy.org/math/in-in-grade-11-ncert/in-in-class11-derivatives/copy-of-derivative-as-instantaneous-rate-of-change-ab/v/approximating-equation-of-tangent-line-word-problem-1]]> 2019-10-08 15:11:45 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395091837 When one of the derivative fails to exist, does the other one also fail to exist? Or just that one. (Right hand and left hand) https://padlet.com/martina47/5z16bwhfmjve/wish/395284526 -Julian]]> 2019-10-08 19:53:09 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395284526 Julian Gideon https://padlet.com/martina47/5z16bwhfmjve/wish/395285165 https://www3.nd.edu/~apilking/Math10560/Calc1Lectures/6.%20Derivatives%20and%20Rates%20of%20Change.pdf]]> 2019-10-08 19:54:40 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395285165 If a function does have a cusp, corner, or vertical tangent lines, are they automatically undefined https://padlet.com/martina47/5z16bwhfmjve/wish/395285782 -Julian]]> 2019-10-08 19:56:05 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395285782 Does this mean that a derivative can only be one line? or can there be multiple lines in one derivative https://padlet.com/martina47/5z16bwhfmjve/wish/395286651 Julian]]> 2019-10-08 19:58:11 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395286651 https://padlet.com/martina47/5z16bwhfmjve/wish/395301279 What is the actual definition of differentiability?
-Joe

]]> 2019-10-08 20:33:17 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395301279 https://padlet.com/martina47/5z16bwhfmjve/wish/395303120 what is the point of the difference quotient if the symmetric difference quotient is more accurate?
-Joe]]> 2019-10-08 20:36:58 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395303120 Is there a way to tell if a function has a cusp, corner, or vertical tangent without the graph? nathaniel_davis2 https://padlet.com/martina47/5z16bwhfmjve/wish/395320832 2019-10-08 21:31:04 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395320832 What is the difference between differentiability and continuity nathaniel_davis2 https://padlet.com/martina47/5z16bwhfmjve/wish/395321931 2019-10-08 21:35:55 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395321931 https://study.com/academy/lesson/average-and-instantaneous-rates-of-change.html nathaniel_davis2 https://padlet.com/martina47/5z16bwhfmjve/wish/395323658
Although you have to sign in after a bit this ones talks about it in the beginning]]> 2019-10-08 21:41:57 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395323658 nathaniel_davis2 https://padlet.com/martina47/5z16bwhfmjve/wish/395324349 If f doesn't have a derivative at x=a then is x=a not continuous?]]> 2019-10-08 21:44:49 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395324349 nathaniel_davis2 https://padlet.com/martina47/5z16bwhfmjve/wish/395324771 If a and b are two points on an interval where f is not differentiable, then can f still takes
on every value between fa and fb?]]> 2019-10-08 21:46:34 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395324771 Would the degree of a function indicate whether its derivative exists? https://padlet.com/martina47/5z16bwhfmjve/wish/395355659 2019-10-08 23:58:32 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395355659 How can you define differentiability as it relates to derivatives? https://padlet.com/martina47/5z16bwhfmjve/wish/395356329 2019-10-09 00:00:31 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395356329 Can functions be differentiable if they have a removable discontinuity? https://padlet.com/martina47/5z16bwhfmjve/wish/395356759 2019-10-09 00:01:59 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395356759 Do the same general rules of continuity, outlined in the intermediate value theorem, apply to derivatives? https://padlet.com/martina47/5z16bwhfmjve/wish/395357339 2019-10-09 00:04:51 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395357339 Does the degree of a function affect the derivative and could it cause f(a) not to exist? https://padlet.com/martina47/5z16bwhfmjve/wish/395387400 -Evan]]> 2019-10-09 02:13:07 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395387400 Didn't really fit into any category, but why don't you use .1, .01, .001 in the calculator? https://padlet.com/martina47/5z16bwhfmjve/wish/395389238 -Evan]]> 2019-10-09 02:21:36 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395389238 Can we go over this in class? Really confused. https://padlet.com/martina47/5z16bwhfmjve/wish/395390058 -Evan]]> 2019-10-09 02:25:02 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395390058 Graphs 1-3 all show the lines being continuous at (0,0), if the y intercept changed, would f'(a) still not exist? https://padlet.com/martina47/5z16bwhfmjve/wish/395391498 2019-10-09 02:31:47 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395391498 https://padlet.com/martina47/5z16bwhfmjve/wish/395392950 Will we learn how to do this on our calculators or learn a different method of finding tangents?]]> 2019-10-09 02:40:30 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395392950 https://padlet.com/martina47/5z16bwhfmjve/wish/395393705 What is the Unit Step Function?]]> 2019-10-09 02:44:39 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395393705 https://padlet.com/martina47/5z16bwhfmjve/wish/395394201 It's not a link but some of us have the book "Physics for Scientists and Engineers" which talks about this on pages 21-27 (Sections 2.1 and 2.2)]]> 2019-10-09 02:47:27 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395394201 No derivatives when... tyler_harris2 https://padlet.com/martina47/5z16bwhfmjve/wish/395514128 (The graph changes dramatically, basically. Corners, cusps, discontinuities, and where there is no slope (because the tangent of the location will not be able to be calculated because no slope)2]]> 2019-10-09 11:25:11 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395514128 Really Simple. tyler_harris2 https://padlet.com/martina47/5z16bwhfmjve/wish/395515219 (f a derivative can be found, it is continuous at that point. It has to be, because if it wasn't continuous there'd be no derivative.)2]]> 2019-10-09 11:29:00 UTC https://padlet.com/martina47/5z16bwhfmjve/wish/395515219 It's like if you play the triangle in an orchestra and you mess that up tyler_harris2 https://padlet.com/martina47/5z16bwhfmjve/wish/395520566 (Is this just like the continuity thing when if theres two points and its continuous between them but for derivatives?)2

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