Grade 12 Calculus and Vectors: Unit 3 - Curve Sketching
7 views 0 purchase
Course
Calculus
Institution
12th Grade
Grade 12 Calculus and Vectors Unit 3 on Curve Sketching. Includes topics ranging from increasing and decreasing functions, maxima and minima, concavity and the second derivative test, simple rational functions, and optimization.
31 increasingandDecreasing
Functions
Ext
afindtheintervalsof increasinganddecreasing for function
fansans in son tooo o nooo positivethenthefunctionmusthavemo or asymptote
tetra
fansonsonso
Oonasonso
i
o anim o un o t t t
o on out no o
n to no sign t o o
no
Increasing
c o is coin ner
Decreasing
cn einer
Exa
Qproduce a graph with thefollowing properties
fans o c2.2 is o is
nano o 2 ins n o
fans cz.si
fan s a a s
Ex3
a produce the properties that definethe followinggraph
fin o
IX
s fi sis
a
fiasco c3as aas
É a
fearone
himfino
nigrato
r
3.2maximaandminima
localextrema akaextremevaluesakaturningpoints
Alocalmaximumoccursat a point onfansifthe ycoordinatesofallotherpointsinthevicinityarelessthantheycoordinateofthepointten
famchanges frompositive to zerotonegative ietinalso to piano to finaco
or
teaislocatedattheendpointofthegraph
, r e at
oalocalminimumoccursatapointon ifthe ycoordinatesofallotherpointsinthevicinityaregreaterthanthe y coordinate ofthepoint on
fin tens
finchangesfromnegativetozerotopositiveie tineasoto pianoto finaso
or
teaislocatedattheendpointofthegraph
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller keyashokeen. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $7.99. You're not tied to anything after your purchase.
