Question

Notify Me Bookmark

Consider the function below. f(x) = −3x2 + 6x + 2 Exercise (a) Find the critical numbers of f. Exercise (b) Find the open intervals on which the function is increasing or decreasing. Exercise (c) Apply the First Derivative Test to identify the relative extrema.

Consider the function below. f(x) = −3x2 + 6x + 2 Exercise (a) Find the critical numbers of f. Exercise (b) Find the open intervals on which the function is increasing or decreasing. Exercise (c) Apply the First Derivative Test to identify the relative extrema.

Image text
Consider the function below.
f ( x ) = − 3 x 2 + 6 x + 2
Exercise (a) Find the critical numbers of f . Exercise (b) Find the open intervals on which the function is increasing or decreasing. Exercise (c) Apply the First Derivative Test to identify the relative extrema.

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

Consider the following function. f(x) = (x+2)2(x−1) (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) x = (b) Find the open intervals on which the function is increasing or decreasing. (Select all that apply. ) Increasing: (−∞, −2) (−2, 0) (0, ∞) (−∞, ∞) Decreasing: (−∞, −2) (−2, 0) (0, ∞) (−∞, ∞) (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = ( ) relative minimum (x, y) = ( ) (d) Use a graphing utility to confirm your results.
Solution
0 0

Consider the following function. f(x) = x1/7 + 5 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) x = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE. ) increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = ( ) relative minimum (x, y) = ()

Solution
0 0

Consider the following function. f(x) = x1/3 + 9 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) x = (b) Find the open intervals on which the function is increasing or decreasing. Increasing: (−∞, 0) (0, ∞) (−∞, ∞) (9, ∞) (−∞, 9) none of the above Decreasing: (−∞, 0) (0, ∞) (−∞, ∞) (9, ∞) (−∞, 9) none of the above (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = ( ) relative minimum (x, y) = ( ) (d) Use a graphing utility to confirm your results.Consider the following function. f(x) = x1/3 + 9 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) x = (b) Find the open intervals on which the function is increasing or decreasing. Increasing: (−∞, 0) (0, ∞) (−∞, ∞) (9, ∞) (−∞, 9) none of the above Decreasing: (−∞, 0) (0, ∞) (−∞, ∞) (9, ∞) (−∞, 9) none of the above (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = ( ) relative minimum (x, y) = ( ) (d) Use a graphing utility to confirm your results.
Solution
0 0