f(x + h) - f(x-h) Explain why should give a reasonable approximation of f'(x) when h is small. 2h Choose the correct answer below. A. The formula f(x + h) f(x) h 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 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). B. The formula f(x + h) - f(x) h 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 from hx 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). C. The formula f(x + h) - f(x) h 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 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). D. The formula f(x+h) f(x) h 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 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). f(x + h) f(x h) 2h gives the slope of the tangent line that f(x + h) - f(x h) gives the slope of the secant line that goes 2h f(x + h) - f(x-h) gives the slope of the secant line that goes 2h f(x + h) - f(x-h) gives the slope of the tangent line that 2h Using the definition of the derivative, find f'(x). Then find f'( -5), f'(0), and f'(3) when the derivative exists. f(x) = 100 f'(x) = (Type an expression using x as the variable.) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. f'(-5)= B. The derivative does not exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. f'(0) = B. The derivative does not exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. f'(3) = (Type an integer or a simplified fraction.) 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 . (Type an integer or decimal rounded to the nearest tenth as needed.) Ay Q 10- 8- 6- X -10-8-64-2 34 6 8 10 4- -6- -8- 10