Relative Maximum of x + k/x at x=-2

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To find the value of k for which the function x + k/x has a relative maximum at x = -2, the derivative must equal zero at that point. The first step involves calculating the derivative of the function and substituting x = -2 into the derivative equation. Solving this equation will yield the necessary value of k. Participants emphasize the importance of showing work to clarify understanding. The discussion highlights the straightforward nature of the problem while encouraging collaborative problem-solving.
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For what value of k will x + \frac{k}{x} have a relative maximum at x= -2?
 
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Looks straight forward to me.

In order to have a critical point at all we must have f'(x)= 0.
What is the derivative of f? In order that there be a critical point at x= -2, put x= -2 in f'(x)= 0 and solve for k.
 
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Hey Tandoori
Most of ur Qs are straightforward

So it is better if u show ur attempt also
 

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