extreme y=3x^{2/3}-2x[-1.1]

解答

极值点

y = 3 x^{\frac{2}{3}} - 2 x [- 1.1]

极大值 (- \frac{1000}{1331}, 0.82644 \dots)

求解步骤

f^{'} (x) = \frac{2}{x ^{\frac{1}{3}}} + 2.2

Find intervals:

递减

: - \infty < x < - \frac{10.648}{8},

递增

: - \frac{10.648}{8} < x < \infty

将

x = - \frac{1000}{1331}

代入

3 x^{\frac{2}{3}} - 2 x [- 1.1] : 0.82644 \dots

极大值 (- \frac{1000}{1331}, 0.82644 \dots)

e x t re m e f (x) = \frac{7 + x}{8 - x}

e x t re m e x x - 1

e x t re m e f (x) = x^{3} - 15 x^{2} + 12 x + 7

e x t re m e f (x) = 3 x^{2} - 4 x

e x t re m e f (x, y) = x^{2} + y^{2} + 16