y-x-3-3-2x-2-3x-maximum-minimum-

Question Number 12562 by @ANTARES_VY last updated on 25/Apr/17

y = - \frac{x^{3}}{3} + 2 x^{2} - 3 x

maximum - minimum = ?

Commented by sandy_suhendra last updated on 25/Apr/17

do you mean^{″} \max {stationary}^{″} and^{″} \min {stationary}^{″} ?

Answered by mrW1 last updated on 25/Apr/17

y = - \frac{x}{3} (x^{2} - 6 x + 9) = - \frac{x}{3} {(x - 3)}^{2}

y_{m i n} \to - \infty w i t h x \to + \infty

y_{m a x} \to + \infty w i t h x \to - \infty

maximum - minimum \to \infty

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