mid2revmath16A - h ( x ) = x 5-10 x 2 . 14. Consider the...

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Math 16A (Fall 2007) Kirkbride Midterm 2 Review *Note: Be sure to understand ALL problems from the homework. These are just some selected practice problems. Derivatives: Find the derivative of the following functions: 1. f ( x ) = x 8 - 3 x 6 + 500 10 - x 2 3 + 1 x + 8 2. f ( x ) = (2 x - 5) 2 x 3. f ( x ) = ( x 2 + 1 x ) 5 4. f ( x ) = (3 x 3 + 7) 2 ( x 2 - 2 x ) 5. f ( x ) = x 2 + x - 1 sin x - 1 6. f ( x ) = 2 x 2 - 3 cos x 7. f ( x ) = ( x 2 - 1)(8 x + 1 x )( x 3 + 2 x ) 8. f ( x ) = csc 3 x + cot 3 x 9. Given f ( x ) = 5 x 4 - 6 x 2 + cos 2 x , ±nd f ′′′ ( x ) Average/Instantaneous Rate of Change 10. Find the average rate of change of the function over the given interval. Then compare with the instantaneous rate of change at the endpoints. f ( x ) = x 3 + x, [ - 2 , 2] 11. Also think about word problems like 41-46 on page 167 from the Chapter 2 Review Exercises
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Graphing functions 12. Find when f’(x) = 0 and use a sign chart to ±nd the relative extrema of the function f ( x ) = 1 4 x 4 - 8 x. 13. Determine the intervals on which the graph of the following function is concave up or concave down,
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Unformatted text preview: h ( x ) = x 5-10 x 2 . 14. Consider the function f ( x ) = x 3-3 2 x 2 a) Find any/all relative extrema (use a sign chart) b) Find any/all points of inection (use a sign chart) c) Find any/all x and y intercepts d) Find any/all horizontal and vertical asymptotes (use limits) e) Sketch the graph of this function 15. Consider the function f ( x ) = 2 x 1 + x 2 a) Find any/all relative extrema (use a sign chart) b) Find any/all points of inection (use a sign chart) c) Find any/all x and y intercepts d) Find any/all horizontal and vertical asymptotes (use limits) e) Sketch the graph of this function Also review marginal prot, revenue, and cost, as well as velocity and acceleration. Some suggested review problems to look at Chapter 2 Review Exercises pg. 169, 47-56, 89, 90, 100...
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This note was uploaded on 06/23/2010 for the course MATH math16 taught by Professor Na during the Spring '10 term at UC Riverside.

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mid2revmath16A - h ( x ) = x 5-10 x 2 . 14. Consider the...

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