(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

Please answer number 6.

(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)?

Image Transcription

(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)?

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