Question: Consider the following function representing the cost associated with operating a robot: y = x2 - 2x + 3 x represents a certain load and

Consider the following function representing the cost associated with operating a robot:

y = x2 - 2x + 3

x represents a certain load and y represents the cost. Our objective is to minimize y.

a- Find the value of x that will minimize y.

b- What is the minimum value of y?

To find the minimum of a function you must calculate the derivative and make it = 0. In the case of the function y the derivative is 2x – 2.

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