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Major Quiz 3 for Calculus I - Fall 2009 | MA 140, Quizzes of Calculus

Material Type: Quiz; Professor: Stickles; Class: Calculus I; Subject: Mathematics; University: Millikin University; Term: Spring 2009;

Typology: Quizzes

Pre 2010

Uploaded on 08/04/2009

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MA140-01
2/25/09
Page 1
Major Quiz 3
They call me________________________
Show all your work and explain your answers completely. I cannot give partial credit for answers that are both wrong and
unexplained. Even correct "bottom line" answers that are mysterious and unsupported will not be considered completely correct.
Show me what you are thinking. Try to keep your answers neat and organized so that I can follow them easily.
1.) Find each of the following. Simplify as much as possible!
(a)
( )
2
cos 4
x
d
e x
dx
(b)
( )
1
ta n (c os )
d
x
dx
(c)
( )
2
d
x x
dx
2.) Derive the derivative of csc x.
pf3

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2/25/ Page 1

Major Quiz 3

They call me________________________ Show all your work and explain your answers completely. I cannot give partial credit for answers that are both wrong and unexplained. Even correct "bottom line" answers that are mysterious and unsupported will not be considered completely correct. Show me what you are thinking. Try to keep your answers neat and organized so that I can follow them easily.

1.) Find each of the following. Simplify as much as possible!

(a) ( )

2

cos 4

d x

e x

dx

(b) ( tan 1 (co s ))

d

x

dx

(c) ( )

2

sin(cos3 ) 3sec 2

d

x x

dx

2.) Derive the derivative of csc x.

2/25/ Page 2

3.) Use the position function s t ( ) = t^2 + 8 to find the velocity at time t = 2. (Assume units

of meters and seconds.)

4.) Use logarithmic differentiation to find the derivative of

ln ( )

x f x = x.

5.) For (^) f ( x ) = cos x, find (^) f ( 7 7 ) ( x )and (^) f ( 12 3 ) ( x ).