  Math Central - mathcentral.uregina.ca  Quandaries & Queries    Q & Q    Topic: inflection point   start over

7 items are filed under this topic.    Page1/1            Inflection Point 2013-11-15 From Z.:I was wondering if the function F(x)= x/ln(x) had an inflection point? If yes, why it's not visible on the graph of the function? Thanks.Answered by Penny Nom.     A tangent line 2011-01-03 From Amanda:Question from Amanda, a student: an equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is (A) y=-6x-6 (B) y= -3x+1 (C) y= 2x+10 (D) y=3x-1 (E) y=4x+1Answered by Penny Nom.     Inflection points 2008-01-25 From Armando:Hi, Im trying to write a program that takes an equation ( f(x) = 0 ) and returns a list of the inflexion points in a given interval. there must be (I think) a mathematical method or algorithm to do this, probably involving the (second) derivate of the function. However I have not found such a method yet. Any help on this will be much appreciated.Answered by Stephen La Rocque and Harley Weston.     Local maxima, minima and inflection points 2007-11-13 From Russell:let f(x) = x^3 - 3a^2^ x +2a^4 with a parameter a > 1. Find the coordinates of local minimum and local maximum Find the coordinates of the inflection pointsAnswered by Harley Weston.     Find the point of inflexion for the curve y = e^x/(x^2-1) 2006-03-31 From Sam:Hi, i am trying to find the point of inflexion for the curve y = ex/(x2-1) and i got a really complex expression for y". I can't seem to solve x4-4x3+4x2+4x+3=0 so does that mean there is no point of inflexion?Answered by Penny Nom.     The tangent line at an inflection point 2004-11-28 From Louise:the equation of the tangent line to the curve y = x3 - 6x2 at its point of inflection is...Answered by Penny Nom.     The sketch of a graph 2003-10-07 From A student: I was wondering how do you figure out if a graph has a horizontal tangent line. One of my homework problem was to sketch the graph of the following function; (4/3)x3-2x2+x. I set f''(x) ( the second derivative) of the function equal to zero and got the inflection point:(1/2,1/6). Also i am having trouble finding the concavity for x>1/2 and x<1/2, i am getting a different answer from the back of the book, the graph i draw looks completely different from the correct answer.Answered by Penny Nom.      Page1/1    Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.    about math central :: site map :: links :: notre site français