361_James Stewart Calculus 5 Edition Answers

361_James Stewart Calculus 5 Edition Answers - Stewart...

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Unformatted text preview: Stewart Calculus ET 5e 0534393217;4. Applications of Differentiation; 4.3 How Derivatives Affect the Shape of a Graph ( )3 2 ( / 2 h (x)=6x x 1 38. (a) h(x)= x 1 decreasing on ( ,0 ) . (b) h(0)= 1 is a local minimum value. (c) h // ( )2 2 2 (x)=6 x 1 +24x )2 x>0 ( x 1 ), so h is increasing on ( 0, 0 ( x2 1) =6 ( x2 1) ( 5x2 1) . The roots ) and 1 divide R into five 5 1 and intervals. Interval x + x< 1 2 2 5x + 1 5 1<x< From the table, we see that h is CU on ( 1 5 and 1 ,1 5 h + // ( x) + upward upward downward + + , 1) , Concavity downward + 1 1 < x< 5 5 1 <x<1 5 x>1 + 1, 1 + 1 1 , 5 5 . Inflection points at ( 1,0 ) and upward and ( 1, ) , and CD on 1 64 , 5 125 (d) 39. (a) A(x)=x x+3 The domain of A is / A (x)=x 3, / 1 (x+3) 2 1/2 + x+3 1= x x+2(x+3) 3x+6 + x+3 = = . 2 x+3 2 x+3 2 x+3 / ) . A (x)>0 for x> 2 and A (x)<0 for 3<x< 2 , so A is increasing on 13 ...
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This note was uploaded on 08/02/2011 for the course MATH 1B taught by Professor Reshetiken during the Spring '08 term at University of California, Berkeley.

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