SOLUTION: This is a calculus problem. Consider the graph of y= root x. There is some point on this graph that is closest to (4,0). What is the x-coordinate of that nearest point?
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-> SOLUTION: This is a calculus problem. Consider the graph of y= root x. There is some point on this graph that is closest to (4,0). What is the x-coordinate of that nearest point?
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Question 859045: This is a calculus problem. Consider the graph of y= root x. There is some point on this graph that is closest to (4,0). What is the x-coordinate of that nearest point? Answer by Fombitz(32388) (Show Source):
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Use the distance formula to calculate the distance from (4,0) to any arbitrary point on the curve (x,y).
From the function,
Substitute,
To minimize the distance,you can also minimize the distance squared. So take the derivative of the distance squared with respect to x and set it to zero.