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Write the answer to the Multiple - Choice section in the table below. Please use CAPITAL LETTERS. [10] 1. 2 . 3 . 4. 5
Write the answer to the Multiple - Choice section in the table below. Please use CAPITAL LETTERS. [10] 1. 2 . 3 . 4. 5 . 6. 7 . 8. 9. 10 1. Find f' (1) if f (x) = 2x-1 x+2 a. b. 2 c. f(x ) = Vx-1 d. -3 e. none of these 2. Find f' ( 1) if f ( x ) = (Vx+ 1)(x2-1). a. 0 b. - 4 C. 1 d. 1 e. none of these 2 3 . Which of the following is true for the function f(x) = Vx2 -2x+1? a. Not differentiable at x = 1 b. has a horizontal tangent at x = 1 c. is not defined at x = 1 d. has a vertical tangent at x = 1 e. None of the above 4. Find f' (1) if f (x) = Vx+=+2. a. 0.5 b. -0.5 C. 1 d. C e. none of these 5. Find f' (It) if f (x) = x3 - 2x - T. a. 312 - 2 b. 3x2 - 7 c. atb d. IT e. none of these 6. Find f' (1) if f (x) = ax+ a. atb b . a - b c. a+ 2b d. -a+b e. none of these 7. A function f (x) = = is not differentiable at x = 0 because: a. function f has a vertical tangent at x = 0 b. function f has a removable discontinuity at x = 0 c. function f is not defined at x = 0 d. function f has a horizontal tangent at x = 0 8. If f' (x) = -3x2 - 2x then a possible function f(x) is: a. f (x ) = x -x+x b. f (x ) =-x -x2+3 c. f (x ) = -x3 - x2+x d. f(x) =- 6x-2 9. Given f (x) = V1 - x, determine the value of x where the derivative is undefined. a. x 2 1 b. x = -1 C. x = 1 d. x
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