`f(x) = x e^(-x^2/8), [-1, 4]` Find the absolute maximum and minimum values of f on the given interval
- print Print
- list Cite
Expert Answers
gsarora17
| Certified Educator
calendarEducator since 2015
write762 answers
starTop subjects are Math, Science, and Business
Function has absolute minimum= `-1/root(8)(e)` at x=-1
Related Questions
- `f(x) = x + 1/x, [0.2, 4]` Find the absolute maximum and minimum values of f on the given...
- 1 Educator Answer
- `f(x) = (x^2 - 1)^3, [-1, 2]` Find the absolute maximum and minimum values of f on the...
- 1 Educator Answer
- `f(x) = 12 + 4x - x^2, [0, 5]` Find the absolute maximum and minimum values of f on the...
- 1 Educator Answer
- `f(x) = 5 + 54x - 2x^3, [0, 4]` Find the absolute maximum and minimum values of f on the...
- 1 Educator Answer
- Find the absolute maximum and absolute minimum values of f on the given interval. f(x)=x+(9/x)...
- 1 Educator Answer
gsarora17
| Certified Educator
calendarEducator since 2015
write762 answers
starTop subjects are Math, Science, and Business
`f(x)=xe^(-x^2/8)`
differentiating by applying product rule,
`f'(x)=x(e^(-x^2/8))((-2x)/8)+e^(-x^2/8)`
`f'(x)=e^(-x^2/8)(-x^2/4+1)`
`f'(x)=-1/4e^(-x^2/8)(x^2-4)`
Now to find the absolute extrema of the function , that is continuous on a closed interval, we...
(The entire section contains 2 answers and 161 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.