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受欢迎的函数 >

inflection f(x)=x^4-32x^2+4

解答

拐点

f (x) = x^{4} - 32 x^{2} + 4

解答

(- \frac{4}{3}, - \frac{1244}{9}), (\frac{4}{3}, - \frac{1244}{9})

求解步骤

f^{''} (x) = 12 x^{2} - 64

Find intervals:

向上凹

: - \infty < x < - \frac{4}{3},

向下凹

: - \frac{4}{3} < x < \frac{4}{3},

向上凹

: \frac{4}{3} < x < \infty

将

x = - \frac{4}{3}

代入

x^{4} - 32 x^{2} + 4 : - \frac{1244}{9}

(- \frac{4}{3}, - \frac{1244}{9})

将

x = \frac{4}{3}

代入

x^{4} - 32 x^{2} + 4 : - \frac{1244}{9}

(\frac{4}{3}, - \frac{1244}{9})

(- \frac{4}{3}, - \frac{1244}{9}), (\frac{4}{3}, - \frac{1244}{9})

作图

流行的例子

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