At what rate is this function increasing?

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IntegrateMe
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When x = 16,the rate at which [tex]\sqrt x[/tex] is increasing is [tex]\frac {1}{k}[/tex] times the rate at which x is increasing. What is the value of k?
 
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I thought it would be 4 but the answer is 8.
 
Its the ratio of the derivatives evaluated at x=16,

(2 sqrt(x))^-1