Find the Maximum/Minimum Value 1/9x^4-4/9x^3

$\frac{1}{9} x^{4} - \frac{4}{9} x^{3}$

Simplify each term.

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Combine $\frac{1}{9}$ and $x^{4}$ .

$f (x) = \frac{x^{4}}{9} - \frac{4}{9} x^{3}$

Combine $x^{3}$ and $\frac{4}{9}$ .

$f (x) = \frac{x^{4}}{9} - \frac{x^{3} \cdot 4}{9}$

Move $4$ to the left of $x^{3}$ .

$f (x) = \frac{x^{4}}{9} - \frac{4 x^{3}}{9}$

The minimum and maximum cannot be determined because this is not a quadratic function.

Not a Quadratic Function

Find the Maximum/Minimum Value 1/9x^4-4/9x^3

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