Question: Consider the function f(x) = 2x-3x - 36x + 54. a. Find the first derivative. f'(x) = b. List any critical values. c. Identify

Consider the function f(x) = 2x-3x - 36x + 54. a. Find

Consider the function f(x) = 2x-3x - 36x + 54. a. Find the first derivative. f'(x) = b. List any critical values. c. Identify intervals of increase. d. Identify intervals of decrease. e. Find the second derivative. f''(x) = f. Use parts b through e to identify any maximums as ordered pairs. g. Use parts b through e to identify any minimums as ordered pairs. h. Use the second derivative to identify intervals where f(x) is concave up. i. Use the second derivative to identify intervals where f(x) is concave down. j. Use the second derivative to identify any inflection points as ordered pairs.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!