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Star boy
Star Boy

Calculus chevron_right Maths calculus chevron_right China

Please help me to solve this question

Date Posted: 5 months ago
Views: 38

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Eric Nicholas K
Eric Nicholas K's answer
2263 answers (Tutor Details)
I tried my best to come up with my solutions, but it may not be fully correct or understandable.

I have split the question into three cases and attempted to prove the three cases accordingly.

Hopefully this answer helps you.
Eric Nicholas K
Eric Nicholas K
5 months ago
In the case where x > 1, I try to show that the difference between x^a - ax can never be greater than 1 - a, so I pretend x^a - ax to be a curve having a turning maximum point with a maximum value of 1 - a.
Star boy
Star Boy
5 months ago
Thanks you really help me