Asked by Mathematics
Consider the following function.
f(x) = e^(x)/ x^(4)
(a) Find the intervals of increase or decrease.
(b) Find the intervals of concavity.
(c) Find the point of inflection. (If an answer does not exist, enter DNE.)
(x, y) =
f(x) = e^(x)/ x^(4)
(a) Find the intervals of increase or decrease.
(b) Find the intervals of concavity.
(c) Find the point of inflection. (If an answer does not exist, enter DNE.)
(x, y) =
Answers
Answered by
Damon
dy/dx = [x^4 e^x - 4 x^3 e^x]/x^8
= [ x e^x - 4 e^x ] / x^5
= 0 when x = 4
increasing if x>4
decreasing if x <4
what is sign of second derivative?
It is a pain to compute, sketch graph of slope'
http://www.wolframalpha.com/input/?i=plot+[+x+e^x+-+4+e^x+]+%2F+x^5
sure looks like inflection point at x = 4
= [ x e^x - 4 e^x ] / x^5
= 0 when x = 4
increasing if x>4
decreasing if x <4
what is sign of second derivative?
It is a pain to compute, sketch graph of slope'
http://www.wolframalpha.com/input/?i=plot+[+x+e^x+-+4+e^x+]+%2F+x^5
sure looks like inflection point at x = 4
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.