f(x+ h) f(x h) 2h should give a reasonable approximation of f'(x) when h is small. Explain why Choose the correct answer below. -:':': A. f(x + h) f(x) f(x + h) f(x h) The formula f gives the slope of the tangent line that goes from x to x + h. Its limit as h goes to O is f'(x). The formula T gives the slope of the tangent line that goes from x - h to x + h. Its limit as h goes to 0 is also f'(x). So for a small h, this would be a reasonable approximation of f'(x). '11:? B. f(x + h) f(x) f(x + h) f(x - h) The formula T gives the slope of the secant line that goes from -x to x+ h. Its limit as h goes to 0 is f'(x). The formula T gives the slope of the secant line that goes from h -x to x+ h. Its limit as h goes to 0 is also f'(x). So for a small h, this would be a reasonable approximation of f'(x). 4:; 0. f(x + h) -f(x) f(x+ h) -f(x- h) The formula # gives the slope of the secant line that goes from x to x + h. Its limit as h goes to 0 is f'(x). The formula T gives the slope of the secant line that goes from x h to x+ h. Its limit as h goes to 0 is also f'(x). So for a small h, this would be a reasonable approximation of f'(x). if? D. f(x + h) f(x) f(x + h) f(x h) The formula f gives the slope of the tangent line that goes from -x to x+ h. Its limit as h goes to 0 is f'(x). The formula T gives the slope of the tangent line that goes from h -x to x + h. Its limit as h goes to 0 is also f'(x). So for a small h, this would be a reasonable approximation of f'(x). Using the definition of the derivative, nd f'(x). Then nd f'( - 5), f'(0), and f'(3) when the derivative exists. _ 100 f(x) x f'(x) = E (Type an expression using x as the variable.) Select the correct choice below and, if necessary, ll in the answer box to complete your choice. '1} A. f'( ' 5): .13. B. The derivative does not exist. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. {21:- A. \"M = (:3. B. The derivative does not exist. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. .13. A. f'(3) = (Type an integer or a simplied fraction.) 5:; B. The derivative does not exist. Estimate the slope of the tangent line to the curve at the given point (- 4.5, - 1.985) on the graph to the right. <:> The slope of the tangent line is El. (Type an integer or decimal rounded to the nearest tenth as needed.) 9,0