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6. Which one of the following statements is true? (5 points) If f and g are differentiable, then = [/(x)g(x)]= /(ng'(x) . O artx =
6. Which one of the following statements is true? (5 points) If f and g are differentiable, then = [/(x)g(x)]= /(ng'(x) . O artx = 2x+1 O f(x) If f and g are differentiable, then dx 21/f (x) O None of these statements are true. 7. Is the following true or false? [xe ]=e'(x+1) (5 points) O True O False8. If h(x) = g[f(x)], use the table of values for f, g, f ' and g ' to find the value of h '(1). (5 points) x f(x) g(x) f'(x) g'(x) 1 3 2 2 6 2 1 5 7 3 7 2 7 9 9. Determine the slope of the graph of x = In(xy) at the point (1, e). (5 points) O e3 2e O 1 O 310. Find y' if y = sin(x + y). (5 points) O 0 cos(x + y) O cos ( x + y) 1 -cos( x + )) O 1
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