Mr. Ruelle gave the teachers a math challenge. He told the teachers that the equation ax 2+bx+c=0
has no real root. Mr. O misread the quadratic coefficient and got two roots 2 and 4. Mr. Baron
misread the sign of one term and got two roots -1 and 4. What
Log 0 1 only if bp=n
Law of log, 01
Trigonometry/radian comes from India
Identities are true for all variables
lim 0/0 1
lim k/0 DNE
nxn-1 works for all numbers
differentiable requirement: 1. Continuous 2. Left equals right
2008 AP Multiple Choice Exam
Name
2008 AP
Calculus AB
Multiple
Choice Exam
Section 1
No Calculator Active
PDF Created with deskPDF PDF Writer - Trial : http:/www.docudesk.com
AP Calculus 2008 Multiple
t.
Choice Sotvts
l*fiffi* *-# =-t(A)
-3
, Ii*=
(A)
@9
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
y
1. If y = xsinx, then dd =
x
(A) sinx
+ cosx
I
(B) sinx + xcosx
V =- COS X
(C) sinx-xcosx
(D) x(sinx+cosx)
(E) x(sinx-cosx)
xCOS:X
B
i
Sinx
2. Let f be the function gi ven by f( x) = 300x - x 3 . On which of the followi
Advanced Placement
Program
AP Calculus AB
Practice Exam
The questions contained in this AP Calculus AB Practice Exam are written to the content specifications
of AP Exams for this subject. Taking this practice exam should provide students with an idea of
Intermediate value theorem: tells us that something exists, but doesnt tell us what that
something is
Extreme Value theorem: if continuous over closed interval, has max and min over that interval
Interior points: where the derivative equals 0
Mean Value T
Arkansas School of Mathematics, Sciences and the Arts
AP Calculus Free Responses
Categorized by Topic
! Continuity and Differentiability
1
! Relative Extrema and Inflection
10
! Tangent Line Equations
22
! Slope Fields
. 34
! Particular Motion
. 38
! R