Math 1400 - Quiz #3 TakeHomeScore:

Fall 2009 Row Name 10

This quiz is due on Friday, September 25 at 10 am. If you are unable to be in class, put your quiz in mymailbox, which is in the hallway outside of the MATH office, CU340. My name is on the mailbox, which alsois numbered #26.

Show only neat work on this paper. Messy work will not get credit.

Ql: Use the definition of the derivative to find the derivative of the function f (x). You must use good notation.You may simplify the value of f (x + h) off to the side, but you must show your work.

For f (x) = 3x 3 + 5 find f ' (x) = Jim f (x + h) — f (x)it-41 h

(,( +- tx) = 3 (x-k-k.)

3 ( k.2' + x 114.-k-')(x+-k) s

3 V. Y -3 -1. a 1.1 k „,>(111-+-01

3 [-x.33x -1-1-,73-1-

q ycx — cx) - 3 3 4_ 7- k (3 x 3 4-- s-)

= ,6 1A7-+ 1\3

k)‹. c)< ti;y16t + 9 )( -3 0

k. iv3k)

(9\k.A. 3)r\-2-)

a +0

(x) =

2 t 3A. Find y'for y = + -T

A. 1 3

-2.C-3-E - 4) 4-.1- (3-L)

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B. Find f ' (x) for f (s) -= .P

2

Q2: Find the derivatives. Put a box around your final answer.

Q3: For the function f (x) = 2x 2 — 5x + 1 find f'(x) answer A - C.

Find f'(x)

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At what value of x does the graph have a horizontal tangent?Sketch this tangent line on the graph

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C. Find the equation of the tangent line at x = 1 . Sketch this tangent lines

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Q4: The body temperature, in degrees Fahrenheit, of a patient t hours after being given a fever — reducing drugis given below.

F (t) = 0.16t 2 — 1.6t + 102

r(-1,)= 3-2.-L - 1-4,Find F(2) and F'(2) (calculator answers are OK) and write a brief verbal interpretation of these numbers.Be sure to label numerical values. Fc-z) 99. LP/ °F. F j(2.) ' tf7

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Math 1400 - Quiz #3 TakeHome Score: Fall 2009 Row Name 10

This quiz is due on Friday, September 25 at 10 am. If you are unable to be in class, put your quiz in mymailbox, which is in the hallway outside of the MATH office, CU340. My name is on the mailbox, which alsois numbered #26.

Show only neat work on this paper. Messy work will not get credit.

Ql: Use the definition of the derivative to find the derivative of the function f (x). You must use good notation.You may simplify the value of f (x + h) off to the side, but you must show your work.

For f (x) -= 3x 3 + 5 find f (x) = lim f (x + — f (x)

h-*0

f

2

Q2: Find the derivatives. Put a box around your final answer.

A. Find y 1 for y = 2 t3

B. Find f'(x) for f (s) = VS3

Q3: For the function f (x) 2x 2 — 5x + 1 find f'(x) answer A - C.

Find /1(x)

At what value of x does the graph have a horizontal tangent?

Sketch this tangent line on the graph

3

C. Find the equation of the tangent line at x = 1 . Sketch this tangent line.

Q4: The body temperature, in degrees Fahrenheit, of a patient t hours after being given a fever — reducing drug

is given below.F (t) = 0.16t 2 — 1.6t + 102

Find F(2) and F'(2) (calculator answers are OK) and write a brief verbal interpretation of these numbers.

Be sure to label numerical values.