(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)?
(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)?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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