SOLUTION: The function f, defined for x ∈ R, x>0, is such that:
f'(x) =x^2 - 2+x^-2
Given that f(3)=0, find f(x). Also prove that f is an increasing function.
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-> SOLUTION: The function f, defined for x ∈ R, x>0, is such that:
f'(x) =x^2 - 2+x^-2
Given that f(3)=0, find f(x). Also prove that f is an increasing function.
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Question 1075016: The function f, defined for x ∈ R, x>0, is such that:
f'(x) =x^2 - 2+x^-2
Given that f(3)=0, find f(x). Also prove that f is an increasing function. Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! Integrating,
So when ,
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Since the derivative is always positive in , the function is increasing. .
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