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(3 pts) 7. Find the limit. Circle the correct answer. sin 2x lim - x-o sin 3x (a. ) 1 (b. ) does not exist

(3 pts) 7. Find the limit. Circle the correct answer. sin 2x lim - x-o sin 3x (a. ) 1 (b. ) does not exist ( C. ) WIN (d.); (e. ) 0 (3 pts) 8. Find the derivative of the function. Circle the correct answer. f (x) =2x6 +3x -5 (a. ) f'(x) =12x5 +3 (b. ) f' (x) = 3x - 5 (c. ) f' (x ) = 3x5 - 5 ( d. ) f' (x ) = 12x5 + 3x (3 pts) 9. Find the derivative of the function. Circle the correct answer. f(x) = 6e2 - 10x4 (a. ) f'(x) = 12e - 40x3 (b. ) f' (x) = -40x3 (c. ) f'(x) = 6e2 - 40x5 (d. ) f'(x)=-4x2 (3 pts) 10. Suppose that h(x) = f(g(x)) and g(14) = 2, g'(14) = 5, f'(14) = 15, and f' (2) = 11. Find h'(14). Circle the correct answer. (a. ) 24 (b. ) 17 (c. ) 55 (d. ) 140 (e. ) 20 (3 pts) 11. Find the derivative of the function. Circle the correct answer. f ( x) = Vx+- Vx ( a. ) f' ( x ) = - 1 1 8x8 6x6 ( b. ) f' ( x ) = - x8 6x6 ( c. ) f' (x ) = 1 1 8x7/8 (d. ) f'(x) = 9x-9-6x-7 6x6

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