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1. (03.01 MC) Let f be the function defined by f(x) = cos(g(x)), where g is a differentiable function. Which of the following is equivalent

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1. (03.01 MC) Let f be the function defined by f(x) = cos(g(x)), where g is a differentiable function. Which of the following is equivalent to the derivative of f, with respect to x? (10 points) O cos(g(x))g'(x) -sing(x)) -sin(g(x))g'(x) -sing'(x)) 2. (03.02 MC) What is the expression for the slope of the graph (x + 3)2 + (y - 4)2 = 25 at any point (x. /)? (10 points) y+4 O y-_*+3 Oy- *+3 O y-_*-3 3. (03.02 MC) If ()sin(2y) = (x)cos(2x), then what is % at the point = > (10 points) O O wi-5. (03.07 MC) If Y _ *v3 2x, what is "X 7 (10 points) O dy 3-2x 3-3x 2 3-2x 13-2x V3-2x 6. (03.05 MC) Find y ' if y = sin 15x4. (10 points) V1-25x O 20x3 1-25x 1-25x O 20x3 W1-25x 7. (03.01 MC) If y = sin(5x), then / is equal to which of the following? (10 points) -cos(5x) 5cos(5x) -5cos(5x) con(5x)8. (03.05 MC) What is " tan "(2x2 + 1)3 7 (10 points) 3(2x3 + 12 (2x2+ 1)# +1 O 12x(2x2 + 1) (2x2+ 1) +1 O 2x2+75 +1 O x(2x2 + 1)2 (2x2+4)+1 9. (03.07 MC) If f (x ) = -x4 + 3x2 + 2x - 3, then what is f "(x) evaluated at x = 3? (10 points) O -24 O -88 O -51 -102 10. (03.03 MC) Let fbe a decreasing function such that f(0) = 4 and /{0) = =. V - 1. Which of the following is true about its inverse h? (10 points) O MD)- Oh (4) = 3 Oh ( 4) = 0

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