AP Calculus AB - Worksheet 27
Derivatives of ln and e
Know the following theorems:
1.
2.
Examples
1.
Find
2.
3.
.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17. A line with slope m passes
Worksheet - Difference Quotient
Name:_
If
then
line 1
f(x) = 3x2 2x
f (!) = 3!2 - 2!
Whatever is in this position becomes the exact replacement for x each place it
appears in the right side of the f
5.3 Solving Trig Equations - Worksheet #2 Name:
Pre-calculus Date: Block: _
art 1: Solve for the unknown variable. Give all of the exact general solutions.
J5
1. sin6=7 2. cos6=sin0 3. tan6=1
I
4. l+s
201-103-RE - Calculus 1
WORKSHEET: LIMITS
1. Use the graph of the function f (x) to answer each question.
Use 1, 1 or DN E where appropriate.
(a)
f (0) =
(b)
f (2) =
(c)
f (3) =
(d)
(e)
(f)
(g)
(h)
li
Exam
N ame_
M U L T IPLE C H O I C E. C hoose the one al ternati ve that best co mp letes the statement or answ ers the q uestion.
T he grap h o f a f unct ion is g i ven. C hoose the answ er that rep
Your introduction effectively presents the question and main idea you plan
to focus on.
Your blog take a clear, consistent, and reasonably argued position on an
issue related to writing, rhetoric, or
Rhetorical analysis The Right to Understand
People deserve to know and comprehend any important documents given to them because it is
their right to know. Sandra-Fisher was very fed up with reading do
MAC 1105 Preclass Worksheet - Exponential Functions, Multiplying and factoring Polynomials.
Rules of exponents (Review)
1) Product Rule:
2) Quotient Rule:
m
n
m +n
a . a =a
bm
=b mn , b 0
n
b
3) Negat
AP Calculus AB Quotient rules
Quotient Rule
Proof using the
definition of a
derivative.
Example:
Rewrite 1st!
Y=
Derivatives of Trig
Functions
(use Quotient Rule
to derive formula.)
Simplifying
Answer
AP Calculus AB Product Rule for Differentiation
Investigation
Let f(x) = x3 and g(x) = x5
Then f(x) =
and g(x) =
(Power Rule)
If h(x) = f(x) * g(x), is h(x) = f(x) * g(x) ?
h(x) =
h(x) =
So how do you
AP Calculus
The Derivative and the Tangent Line Problem
Origins of Calculus (17th
century Europe)
Solve 4 major problems:
1.
2.
3.
4.
The
The
The
The
tangent line problem.
velocity and acceleration pr
AP Calculus AB Infinite Limits and Finding Asymptotes
What is an Infinite
Limit?
When a function, f, INCREASES without bound or DECREASES without
bound as x approaches a target value, c, then the limi
Calculus Cheat Sheet
Limits
Definitions
Precise Definition : We say lim f ( x ) = L if
Limit at Infinity : We say lim f ( x ) = L if we
x a
x
for every e > 0 there is a d > 0 such that
whenever 0 < x