Final Exam Review

Final Exam Review - Math 1309 Final Exam Review 1. Find the...

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Math 1309 Final Exam Review 1. Find the first derivative. 3 5 3 ) ( ) 5 4 )( 2 3 ( ) ( 4 1 ) ( 2 3 - + = - + = - = x x x f x x x f x x x f 2. Find the first derivative. 3 2 3 ) ( 1 4 4 1 ) ( ) 2 ( 3 ) ( 2 2 4 2 + = + - = - = x x x f x x x f x x f 3. Find the first derivative. 4 2 2 3 )} 3 {ln( ) ( 1 ) ( ) 4 ln( ) ( x x x f e e x f x x f x x + = - + = + = - 4. Find the first derivative. ) 2 ln( 3 ) ( 1 ) ( ) 3 ( ) ( 2 5 2 x x x f e e x f e x f x x x = - = + = 5. Find the partial derivatives, ) , ( y x f x and ) , ( y x f y ) ln( 3 ) , ( 7 5 3 2 ) , ( 2 2 2 3 2 xy e y x f y x x y y x y x f y x + = + - + - = + 6. Find the equation of the tangent line to f(x) at the given point. a. 2 6 11 7 ) ( x x x f - + = at x=2 b. x x f ln ) ( = at x=1
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7. Determine intervals where f(x) is increasing and decreasing and find all local extrema. 3 2 ) ( 7 9 ) ( 2 3 - + = + + = x x x f x x x f 8. Determine the intervals where f(x) is concave up and concave down and find all inflection points. 3 2 3 3 1 ) ( 11 10 18 ) ( x x x f x x x x f - - = - + - = 9. Find the indefinite integral. Use “u” substitution when appropriate. ( 29 dx x x dx e x dx x x x + - + - 4 4 1 2 6 3 4 dx x x dx e x x dx x x x
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Final Exam Review - Math 1309 Final Exam Review 1. Find the...

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