140Bquiz4c - a . Find the function f and the point a and...

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1 MATH 140B QUIZ#4 Due: Friday Sept 21, 2007 Print Name: Instructor: Dr. Fabbri Duration: 15 minutes 1. This exercise uses the familiar formula: f ( x ) = lim h 0 b f ( x + h ) - f ( x ) h B . Consider the function f ( x ) = x x - 3 . [ 3 ] a) Compute the simplifed diFerence quotient f ( x + h ) - f ( x ) h . Show all your work. f ( x + h ) f ( x ) h = [ 2 ] b) Compute the limit as h approaches 0 of your answer in part a) and put your answer on the line provided. f ( x ) = [ 1 ] c) Use your answer to part b) above to ±nd f (1) . f (1) =
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2 [ 2 ] 2. The expression lim h 0 p 9 + h - 3 h P represents the derivative f ( x ) of some function f and at some point
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Unformatted text preview: a . Find the function f and the point a and put your answer on the lines provided. f ( x ) = a = [ 2 ] 3. Interpret each of the four numbers below as either an average rate of change over an interval, or an instantaneous rate of change at a point. Then list them in decreasing order (from top to bottom) on the blanks below. f (4) , f (4)-f (2) 4-2 , f (2) , f (3)-f (2) 1 2 3 4 5 x 0.2 0.4 0.6 0.8 1.0 1.2 f L x R largest: smallest:...
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140Bquiz4c - a . Find the function f and the point a and...

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