18x + 54. 6x² - 12x - 18 a. Find the first derivative. f'(x) = b. List any critical values. -1,3 c. Identify intervals of increase. (-∞0,-1)U(3,00) d. Identify intervals of decrease. (-1,3) e. Find the second derivaitve. f''(x) = 12x12 f. Use parts b through e to identify maximums as points. g. Use parts b through e to identify minimumns as points. 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 find any inflection points. k. Upload a sketch of the function based on the information above and the intercepts. Choose File No file chosen
18x + 54. 6x² - 12x - 18 a. Find the first derivative. f'(x) = b. List any critical values. -1,3 c. Identify intervals of increase. (-∞0,-1)U(3,00) d. Identify intervals of decrease. (-1,3) e. Find the second derivaitve. f''(x) = 12x12 f. Use parts b through e to identify maximums as points. g. Use parts b through e to identify minimumns as points. 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 find any inflection points. k. Upload a sketch of the function based on the information above and the intercepts. Choose File No file chosen
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
Related questions
Question
Expert Solution
Trending now
This is a popular solution!
Step by step
Solved in 9 steps with 9 images
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,