extreme f(x)=4(x-4)^{2/3}

解答

极值点

f (x) = 4 (x - 4)^{\frac{2}{3}}

极小值 (4, 0)

求解步骤

f^{'} (x) = \frac{8}{3 ( x - 4 ) ^{\frac{1}{3}}}

Find intervals:

递减

: - \infty < x < 4,

递增

: 4 < x < \infty

将

x = 4

代入

4 (x - 4)^{\frac{2}{3}} : 0

极小值 (4, 0)

e x t re m e f (x) = 2 x^{2} + 16 x - 5

e x t re m e f (x) = x (x - 1)^{5}

e x t re m e 2 x^{2} - 30 x^{2} + 54 x + 2

e x t re m e y = (x - 6) ln (x - 6)

e x t re m e f (x, y) = (2 y^{2} + x^{2}) e^{- (x^{2} + y^{2} - 3)}