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Distributive Property 100

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Title: Distributive Property 100 Author: Stone Bridge High School Last modified by: LCPS Created Date: 10/26/2004 12:45:06 PM Document presentation format – PowerPoint PPT presentation

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Title: Distributive Property 100


1
Limit Definition of Derivatives
Basic Rules
Product, Quotient, and Higher Order Derivatives
Chain Rule
Implicit Differentiation
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
Final Jeopardy
2
Limit Definition of Derivatives 100
Use the limit definition for derivatives to find
the derivative of .
Get Answer
Main
3
Limit Definition of Derivatives 100
If ,
Main
4
Limit Definition of Derivatives200
Use the limit definition for derivatives
to find the derivative of
at x 4.
Main
Get Answer
5
Limit Definition of Derivatives 200
If ,
Main
6
Limit Definition of Derivatives 300
Find the equation of the tangent line to
at x -3 by using the limit
definition of derivatives.
Main
Get Answer
7
Limit Definition of Derivatives300
If ,
Equation of Tangent Line at x -3
Main
8
Limit Definition of Derivatives 400
Get Answer
Main
9
Limit Definition of Derivatives 400
if .
Main
10
Limit Definition of Derivatives 500
If f (x) is continuous and differentiable at x
1. Find a and b.
Get Answer
Main
11
Limit Definition of Derivatives 500
If , If f
(x) is continuous and differentiable at x 1.
and .
Main
12
Basic Rules100
a) b) c)
d) e)
Main
Get Answer
13
Basic Rules 100
c)
Main
14
Basic Rules 200
Main
Get Answer
15
Basic Rules 200
Main
16
Basic Rules 300
Main
Get Answer
17
Basic Rules 300
If ,
. At (2,16), .
Equation of Tangent Line at x 2
Main
18
Basic Rules 400
Find the tangent line of
at
MAY USE CALCULATOR
Main
Get Answer
19
Basic Rules 400
  • If ,
  • and
  • .

Equation of Tangent Line at x -3
Main
Main
20
Basic Rules 500
Find the equation of the line perpendicular to
the tangent line of at
.
Main
Get Answer
21
Basic Rules 500
  • If ,
  • ,
  • , and
  • .

Equation of Tangent Line at x 1
Main
Main
Main
22
Product, Quotient, andHigher Order
Derivatives100
If , find
.
Main
Get Answer
23
Product, Quotient, andHigher Order
Derivatives100
If ,
Main
24
Product, Quotient, andHigher Order
Derivatives200
Main
Get Answer
25
Product, Quotient, andHigher Order
Derivatives200
Main
26
Product, Quotient, andHigher Order
Derivatives300
   
Find f (x) in its simplest form.
Main
Get Answer
27
Product, Quotient, andHigher Order
Derivatives300
Find f (x) in its simplest form
Main
28
Product, Quotient, andHigher Order
Derivatives400
The position of a particle is given by
What is the acceleration of the particle at
Use a calculator!
Daily Double !
Main
Get Answer
29
Product, Quotient, andHigher Order
Derivatives400
The position of a particle is given by
What is the acceleration of the particle at
Use a calculator!
Daily Double !
Main
30
Product, Quotient, andHigher Order
Derivatives500
Find do NOT use a CALCULATOR!
Main
Get Answer
31
Product, Quotient, andHigher Order
Derivatives500
Main
32
Chain Rule 100
Let f and u be differentiable functions of
x. Find
Main
Get Answer
33
Chain Rule 100
Let f and u be differentiable functions of x.
Main
34
Chain Rule 200
Differentiate .
Main
Get Answer
35
Chain Rule 200
Differentiate .
, .
Main
36
Chain Rule 300
Differentiate .
Daily Double !
Main
Get Answer
37
Chain Rule 300
Differentiate .
Daily Double !
Main
38
Chain Rule 400
Main
Get Answer
39
Chain Rule 400
Main
40
Chain Rule 500
Suppose that functions f and g have the
following values.
What is the value of the derivative of
at ?
Main
Get Answer
41
Chain Rule 500
Suppose that functions f and g have the
following values.
What is the value of the derivative of
at ?
Main
42
Implicit Differentiation100
Find
Main
Get Answer
43
Implicit Differentiation100
Find

Main
44
Implicit Differentiation200
Find
Main
Get Answer
45
Implicit Differentiation200
Find


Main
46
Implicit Differentiation300
Find in its simplest form.
Main
Get Answer
47
Implicit Differentiation300
Find in its simplest form.
Main
48
Implicit Differentiation 400
Find the slope of the tangent line when x 1
and y 3.
Main
Get Answer
49
Implicit Differentiation 400
Find the slope of the tangent line when x 1
and y 3.
Main
Main
50
Implicit Differentiation500
Find the slope of the tangent line when x 2.
Main
Get Answer
51
Implicit Differentiation 500
Find the slope of the tangent line when x 2.
Main
52
(No Transcript)
53
A Patrol Car is parked 50 feet from a long
warehouse. The revolving light on top of the car
turns at a rate of 30 revolutions per minute. How
fast is the light beam moving along the wall (in
ft/sec) when the beam makes an angle of
?
54
A Patrol Car is parked 50 feet from a long
warehouse. The revolving light on top of the car
turns at a rate of 30 revolutions per minute. How
fast is the light beam moving along the wall (in
ft/sec) when the beam makes an angle of
?
Remember
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