paperpheasant Posted March 20, 2011 Report Share Posted March 20, 2011 I have a question specifically about Math SL calculus part-do we have to know how to sketch the graph of function basing on the first and second derivative, like the points of inflection, local and global maxima/minima, or vertical tangents and cusps.?or is it just enough to draw it with the aid of GDC.?I mean, can specifically sketching a function with those derivatives and all features can happen on paper 1.? Reply Link to post Share on other sites More sharing options...
CocoPop Posted March 20, 2011 Report Share Posted March 20, 2011 I know that for maths HL you had to know how to do this, and you'd quite regularly get questions asking you to sketch the derivative/antiderivative of a function by looking at a sketch of the function (and sometimes its derivative). Looking at the maths SL syllabus, there's no direct mention of sketching graphs, but it definitely seems that you need to understand the theory behind it, so perhaps you could get a question about it. They say that you need to know:Graphical behaviour of functions: tangents and normals, behaviour for large x, horizontal and vertical asymptotes.The significance of the second derivative; distinction between maximum and minimum points.Points of inflexion with zero and non-zero gradients.Both “global” and “local” behaviour. Use of the terms “concave-up” for f ′′(x) > 0 , “concave-down” for f ′′(x) < 0 .At a point of inflexion f ′′(x) = 0 and f ′′(x) changes sign (concavity change). f ′′(x) = 0 is not a sufficient condition for a point of inflexion: for example, y = x4 at (0,0) .http://www.education.umd.edu/MathEd/conference/vbook/math.sl.08.pdf Reply Link to post Share on other sites More sharing options...
paperpheasant Posted March 20, 2011 Author Report Share Posted March 20, 2011 thank you so much for clearing this out for me.!I was reading syllabus, but to be fairly honest it doesn't tell much on the topic, we use the book which is said to be for ib but it is more extended actually and I'm sometimes confused what difficulty of tasks I should do Reply Link to post Share on other sites More sharing options...
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