# How do you find the exact relative maximum and minimum of the polynomial function of #g(x) =x^3 + 6x^2 – 36#?

See below.

Create a graph using the graphing tool graph{y=x^3+6x^2-36 [-80, 80, -40, 40]} to confirm.

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To find the exact relative maximum and minimum of the polynomial function g(x) = x^3 + 6x^2 - 36, you first find its critical points by finding where its derivative equals zero. Then, you determine the nature of these critical points by analyzing the sign of the derivative around each point.

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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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- How do you determine the intervals where #f(x)=3x-4# is concave up or down?
- How do you find all critical point and determine the min, max and inflection given #f(x)=3x^2-4x+1#?

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