# What are the critical values of #f(x)=x/sqrt(x^2+2)-(x-1)^2#?

The critical values of a function can be found by looking at its derivative. If the derivative is either 0 or undefined, this is a critical value.

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To find the critical values of ( f(x) = \frac{x}{\sqrt{x^2 + 2}} - (x - 1)^2 ), you need to differentiate the function with respect to ( x ), set the derivative equal to zero, and solve for ( x ). Then, verify which solutions make the derivative undefined or zero. This will give you the critical values of the function.

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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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