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1.1. Use l'Hospital's Rule if applicable to nd the limit. _ X3+X2X1 Ilm2 xrl X -X Explain if and why l'Hospital's rule can be used to nd the limit. too O A. L'Hospital's rule can be used because this quotient leads to an indeterminate form of type R. 0 O B. L'Hospital's rule can be used because this quotient leads to an indeterminate form of type 6. O c L'Hospital's rule cannot be used because this quotient does not lead to a suitable indeterminate ' form. Evaluate the limit. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 3 2 x +x -x1 O A. lim 2 : {Simplify your answer.) xxl X -X 0 B. The limit does not exist and does not equal ea or on. ID: 12.7.1-Setup s Solve 12. Suppose that the graph below is the graph of f'(x), the a) List any interval(s) on which f(x) is increasing. Select the derivative of a function f{x). Find the open intervals where correct choice below and ll in any answer boxes within f(x) is a} increasing, orb) decreasing. your choice. OA. (Type your answer in interval notation. Use a comma to separate answers as needed.) 0 B. The function x) is never increasing. b) List any interval(s} on which x) is decreasing. Select the correct choice below and ll in any answer boxes within your choice. OA. (Type your answer in interval notation. Use a comma to separate answers as needed.) 0 B. The function f(x) is never decreasing. 7. Use the quotient rule to find the derivative of the function. f(x) = = 8x + 1 3x + 2 What is the correct way of writing the derivative of y? d O A. f'(X) = dx (8x + 1) d dy (3x + 2) OB. f'(x) = (3x + 2) . a . dy (8 x + 1) [(3x + 2)12 O c. f' ( x) = * (3x + 2) . dx ( (8x + 1) . a (8x + 1) - dy ( " dy (3x + 2 ) [(3x + 2)12 OD. f'( x) = - (3x + 2) - -(8x + 1) - (8x + 1) . - (3 dy (3x + 2 ) [(3x + 2)12 f' (x) = ID: 4.2.11-Setup & Solve 8. Let f(x) = 3x2 - 5 and let g(x) = 2x + 1. Find the given value. f[g(2)] fig(2)] = (Type an integer or a decimal.) ID: 4.3.1 9. Differentiate the following function. f(x) = -4e 4x a (-4e 4X ) = ID: 4.4.3 10. Find the derivative. y = In (5 -4x) y'=