f(x)=ln(x^4+27) a. Find the interval on which f is increasing and decreasing. b. Find the local minimum value of f c. Find the inflection points (2) d.Find the interval on which f is concave up and down
- print Print
- list Cite
Expert Answers
Luca B.
| Certified Educator
calendarEducator since 2011
write5,348 answers
starTop subjects are Math, Science, and Business
a) You need to perform the first derivative test, hence you need to find f'(x) such that:
`f'(x) = (4x^3)/(x^4+27)`
You need to solve f'(x) = 0 such that:
`(4x^3)/(x^4+27) = 0 =gt 4x^3 = 0 =gt x = 0`
You need to select a value smaller than 0 such that:
`f'(-1) = -4/28 lt 0`
(The entire section contains 171 words.)
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.
Related Questions
- `f(x) = (x^2) - x - ln(x)` (a) Find the intervals on which `f` is increasing or decreasing....
- 2 Educator Answers
- `f(x) = (x^2)ln(x)` (a) Find the intervals on which `f` is increasing or decreasing. (b)...
- 1 Educator Answer
- `f(x) = x/(x^2 + 1)` (a) Find the intervals on which `f` is increasing or decreasing. (b)...
- 1 Educator Answer
- `f(x) = x^4 - 2x^2 + 3` (a) Find the intervals on which `f` is increasing or decreasing. (b)...
- 1 Educator Answer
- `f(x) = e^(2x) + e^(-x)` (a) Find the intervals on which `f` is increasing or decreasing....
- 1 Educator Answer