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Unformatted text preview: x = 1. 4. (4 pts) Given the following table, estimate to the nearest integer the instantaneous rate of change and the slope of the tangent line of y = f ( x ) = 16 x 2 . h-0.1-0.01-0.001 0.001 0.01 0.1 f (1 + h )-f (1) h 30.4 31.84 31.984 ? 32.016 32.16 33.6 5. (10 pts) Using the derivative rules developed in class, nd the derivatives of the following. Do not simplify your answers. (a) f ( x ) = 5 x 4 4-2 x 2 + 3 x-2 (b) h ( q ) = 4 q 3 + 7 q-4 q 6. (8 pts) A manufacturer produces Cougar memorabilia. If the average-cost function for this product is c = 10 q 2-2 q + 5-500 q , nd the marginal-cost function. Then evaluate it when q = 5. Extra Credit 5 pts Given y = f ( x ), what is the dierence between lim x c f ( x ) and f ( c )?...
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This note was uploaded on 10/20/2010 for the course MATH 201 taught by Professor Smith during the Fall '08 term at Washington State University .
- Fall '08