# How do you find the extreme values of the function and where they occur?

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To find the extreme values of a function, you first find its critical points by setting the derivative equal to zero and solving for x. Then, you evaluate the function at these critical points and at the endpoints of the domain (if applicable). The highest and lowest function values are the maximum and minimum values, respectively, and they occur at the corresponding critical points or endpoints.

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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.

- How do you find the critical points for #y = x^(2/3)(x^2-16) #?
- What are the critical points of #g(x)=x/3 + x^-2/3#?
- How do you find the critical points of #h'(x)=x^2+8x-9#?
- How do you find the axis of symmetry, graph and find the maximum or minimum value of the function #f(x)=-x^2+6x+6#?
- How do use the first derivative test to determine the local extrema #f(x)= 4x^3 - 3x^4#?

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