Asked by Sarah
By applying Rolle's theorem, check whether it is possible that the function f(x)=x^5+x−5 has two real roots.
Answer: (input possible or impossible )
Your reason is that if f(x) has two real roots then by Rolle's theorem:
f′(x) must be (input a number here)
at certain value of x between these two roots, but f′(x) is always (input negative , positive, or zero )
Answer: (input possible or impossible )
Your reason is that if f(x) has two real roots then by Rolle's theorem:
f′(x) must be (input a number here)
at certain value of x between these two roots, but f′(x) is always (input negative , positive, or zero )
Answers
Answered by
Steve
f' = 5x^4+1
Looks like f' > 0 for all x.
Looks like f' > 0 for all x.
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.