Thursday, October 27
−
Lecture 19 :
Curve sket
c
hing
(Refers to Section 4.6 in your
text)
Students who have mastered the content of this lecture know about
:
The First derivative test, concavity,
what defines concave upwards and concave downward, inflection points, the Second derivative test
Students who have practiced the techniques presented in this lecture will be able to
: Use t
he First
derivative test to sketch the curve of a function f(x) indicating all local max and mins, absolute max and
mins, and inflection points. Apply a systematic procedure that will facilitate the task of curve sketching.
19.1
Curve sketching
– Plotting a curve can be a tedious task, depending on the
complexity of the function. It helps if we have general procedure to follow. We will
sumarize here,
in a very general way
, a procedure one can use to sketch the curve of a
function in the Cartesian plane.
You will notice that curve sketching involves many
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 Spring '11
 RobertAndre
 Calculus, Derivative, Inflection Points, Graph of a function

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