Math 135_Test#1

# Math 135_Test#1 - dy dx for 4 2 3 3 3 2 x y x + = + , but...

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Math 135 Test#1 Fall 2007 Name: 1 - Refer to the graph of f, below, to answer the following questions: (16 points) a. ( 29 4 x Lim f x L = b. ( 29 11 x Lim f x - - = c. ( 29 11 x Lim f x + - = d. ( 29 8 x Lim f x L = e. ( 29 7 x Lim f x L - f. Is f continuous at 4 x = ? Why? g. Is f differentiable at 7 x = - ? Why? h. Is f continuous at 8 x = ? Why? 2-Evaluate the following limits: (10 points) a. 2 4 2 2 2 3 4 x x x Lim x x L - - - - b. 3 2 1 1 5 6 x x Lim x x L - + - 3-Use the general formula, ( 29 ( 29 0 ( ) h f x h f x f x Lim h + - = , to find the derivative of ( 29 2 2 5 f x x x = - + (8 points) 1

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4- Complete the following table (8 points) f x bg f x bg ( 29 2 2 1 x x + 2 x ( 29 2 1 x x + 2 3 6 5 x x + + Differentiate the following functions: (15 points) 5A- ( 29 2 3 3 2 y x x = + and simplify 5B- 2 2 2 1 2 3 x x y x x + + = + + and simplify 5C- 4 2 1 y x x = + and simplify 2
6A- Find dy dx for ( 29 ( 29 3 2 2 1 3 2 y x x = + + , but do not simplify (8 points) 6B- Find

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Unformatted text preview: dy dx for 4 2 3 3 3 2 x y x + = + , but do not simplify 7- Write the equation of tangent line to the graph of 3 2 y x x x =-at 4 x = . (8 points) 8- Find the point(s) on the graph of 3 2 3 6 y x x x = +-at which the slope of tangent line is 3 . (8 points) 3 9-Given ( ) 50 0.5 p x x =-, the price, and ( ) 4 10 C x x = + , the cost of producing x units. Find the following: (10 points) a. (10) P , and interpret this value you will find. b. (10) PL , and interpret this value you will find. 10- Find the second derivative of 2 2 4 x y x = + (9 points) 4...
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## This note was uploaded on 04/27/2008 for the course MATH 135 taught by Professor Dr.g during the Spring '08 term at CSU Fullerton.

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Math 135_Test#1 - dy dx for 4 2 3 3 3 2 x y x + = + , but...

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