# Find the absolute maximum value and the absolute minimum value of #f(x) = x^(4/3) −x−x^(1/3)# on the interval# [−1, 6]#?

The absolute minimum value is

A differentiable function's absolute extrema may appear at any critical value within the interval or at the interval's endpoints.

Distinguish the function:

Cubing each side separately:

Perform the long division to find the resulting quadratic in order to ascertain the veracity of the other two solutions:

Examine the original function's endpoints and critical values:

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The absolute maximum value of f(x) = x^(4/3) −x−x^(1/3) on the interval [−1, 6] is approximately 4.732, and the absolute minimum value is approximately -1.732.

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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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