Use the optimization method to find the point on the curve y =x^2-3 that is closest to the point (0,1).
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Originally Posted by mzhang Use the optimization method to find the point on the curve y =x^2-3 that is closest to the point (0,1). use the distance formula between the points $\displaystyle (x, x^2-3)$ and $\displaystyle (0,1)$ , then minimize.
how do i minimize?
how do I minimize?
Originally Posted by mzhang how do I minimize? take the derivative of your distance function, set the derivative equal to zero, solve for critical values, then determine the critical value that yields a minimum using the first and/or second derivative test.
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