Relative Maximum

[tandoorichicken]

For what value of k will x + \frac{k}{x} have a relative maximum at x= -2?

[HallsofIvy]

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.

[himanshu121]

Hey Tandoori
Most of ur Qs are straightforward

So it is better if u show ur attempt also