# Find critical numbers for f(x)= x(x-2)^(-3) .explain why x= 2 is not one?

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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.

- What is the relative minimum, relative maximum, and points of inflection of #f(x) = x^4 - 4x^2#?
- Does rolle's theorem apply for #f(x) = abs(x-2)# on [0,4]?
- What are the critical points of #f(x)= -x^2 + 3x# on the interval [0,3]?
- How do you find the intervals of increasing and decreasing using the first derivative given #y=x^3-4x#?
- What is the maxima and minima of #xy^2# if #3x+6y=25#?

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