# How do you find the point on the the graph #y=sqrtx# which is plosest to the point (4,0)?

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To find the point on the graph y = √x closest to the point (4, 0), you need to minimize the distance between the two points.

- Begin by expressing the distance between two points (x, y) and (4, 0) in terms of the variables x and y.
- Square the distance formula to eliminate the square root.
- Differentiate the squared distance function with respect to x.
- Set the derivative equal to zero and solve for x.
- Substitute the value of x obtained into the equation y = √x to find the corresponding y-coordinate.
- The point (x, y) obtained is the point on the graph y = √x closest to the point (4, 0).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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