# (c) Use average rates of change to approximate the in- stantaneous rate of change of f(x) at x = 2. 5. (a) Make a table of values, rounded to two decimal places, for f(x) = log x (that is, log base 10) with =1, 1.5, 2, 2.5, 3. Then use this table to answer parts (b) and (c). (b) Find the average rate of change of f(x) between =1 and x 3. (c) Use average rates of change to approximate the in- stantaneous rate of change of f (x) at x x=1 and x = 3. 2. 6. If f(x) = x3 4x, estimate f' (3) using a table with values of x near 3, spaced by 0.001. 7. Graph f(x) whether the derivative of f(x) at x = 3« is positive or negative. 13. sin x, and use the graph to decide 8. For the function f(x) = log x, estimate f'(1). From the graph of f(x), would you expect your estimate to be greater than or less than f'(1)?

Question help_outlineImage Transcriptionclose(c) Use average rates of change to approximate the in- stantaneous rate of change of f(x) at x = 2. 5. (a) Make a table of values, rounded to two decimal places, for f(x) = log x (that is, log base 10) with =1, 1.5, 2, 2.5, 3. Then use this table to answer parts (b) and (c). (b) Find the average rate of change of f(x) between =1 and x 3. (c) Use average rates of change to approximate the in- stantaneous rate of change of f (x) at x x=1 and x = 3. 2. 6. If f(x) = x3 4x, estimate f' (3) using a table with values of x near 3, spaced by 0.001. 7. Graph f(x) whether the derivative of f(x) at x = 3« is positive or negative. 13. sin x, and use the graph to decide 8. For the function f(x) = log x, estimate f'(1). From the graph of f(x), would you expect your estimate to be greater than or less than f'(1)? fullscreen 