Presentation - SCHOOLinSITES by yurtgc548

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```									          Powerpoint Jeopardy
Definition of     Basic        Equation of    Product &      Chain Rule
Derivatives     Derivatives   Tangent Line   Quotient Rule

10             10             10              10            10

20             20             20              20            20

30             30             30              30            30

40             40             40              40            40

50             50             50              50            50
Use the definition of derivatives to find
the slope of the graph of

f ( x)  2 x  3 at the point (2, 1).
Use the definition of a derivative
to calculate the derivative of

f ( x)  x  x
2
Is the function f(x)=|x – 2| differentiable
everywhere? If not, why not?
Use the definition of derivatives to
find the derivative of

2
y
t
Insert Text for Questio
Category 1 – 50 points

(a) Is the slope of the tangent line at (-3, -3)
positive, negative or zero?
(b) Is the slope of the tangent line at -1 positive,
negative or zero?
Find the derivative of x-9
Let g ( x)  5 f ( x) and let f '(7)  6. Find g '(7).
Suppose the position equation for a
moving object is given by
s (t )  3t  2t  5
2

where s is measured in meters and t is
measured in seconds. Find the velocity
of the object when t = 2.
The volume of a right circular cone
of radius r and height r is given by

V       r 3.
3
How fast is the volume changing
with respect to changes in r when
the radius r is equal to 2 feet?
The graph below represents the graph of
the derivative of what function?
Find an equation of the tangent line to the
graph of the function f(x) = 2 sin x at the

point where x 
3
Find an equation of the tangent line to
the graph of  f ( x)  2 x 2  2 x  3
at the point where x = 1.
Find an equation of the tangent line to
the graph of f(x) = tan x at the point
 
 ,1  .
4 
Find an equation for the tangent line to
the graph of
f ( x)  x  1 at the point where x  3.
Find an equation for the tangent line to
the graph of f ( x)  2 x  1 at the point (4,3).
Differentiate: f ( x)   x  tan x.
csc x
Find y’’ for y        .
2
Let f(3) = 0, f’(3) = 6, g(3) = 1 and
g’(3) = 1/3. Find h’(3) if
h(x) = f(x)/g(x).
dy
Find    for y  x (3x  1).
dx
Differentiate:

1  cos x
y           .
1  cos x
Find the value of the derivative of
f ( x)  2( x  3) at the point (2, 2).
2
Find the derivative of f ( x)  x  1
2
 2 
Find the derivative of y  tan  x  
    4
x 1
Find the derivative of y 
x
Evaluate the derivative of
1                          2 
y   cos x at the point      , .
x                         2 

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