Asked by Jenna
Find the positive critical point of the function f(x)=x/(x^6+9)
Answers
Answered by
Steve
f = x/(x^6+9)
f' = (9-5x^6)/(x^6+9)^2
f" = 6x^5(5x^6-53)/(x^6+9)^3
since the denominator is never zero, we just need to find where
6x^5(5x^6-53) = 0
That is at x=0, x = ±(53/6)^(1/6) = ±1.4377
f' = (9-5x^6)/(x^6+9)^2
f" = 6x^5(5x^6-53)/(x^6+9)^3
since the denominator is never zero, we just need to find where
6x^5(5x^6-53) = 0
That is at x=0, x = ±(53/6)^(1/6) = ±1.4377
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.