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受欢迎的函数 >

f(x)=(x^7)/(40)+(x^3)/(10)-40x

解答

f (x) = \frac{x ^{7}}{40} + \frac{x ^{3}}{10} - 40 x

解答

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X 截距 : (0, 0), (\frac{7.2388 E 14}{6.25 E 13}, 0), (- \frac{7.2388 E 14}{6.25 E 13}, 0), Y 截距 : (0, 0)

Asymptotes : 无

Extreme Points : 极大值 (- \frac{3.76298 E 14}{6.25 E 13}, - \frac{3.76298 E 1 4 ^{\frac{7}{2}}}{40 \cdot 6.25 E 1 3 ^{\frac{7}{2}}} - \frac{3.76298 E 1 4 ^{\frac{3}{2}}}{10 \cdot 6.25 E 1 3 ^{\frac{3}{2}}} + 40 \frac{3.76298 E 14}{6.25 E 13}), 极小值 (\frac{3.76298 E 14}{6.25 E 13}, \frac{3.76298 E 1 4 ^{\frac{7}{2}}}{40 \cdot 6.25 E 1 3 ^{\frac{7}{2}}} + \frac{3.76298 E 1 4 ^{\frac{3}{2}}}{10 \cdot 6.25 E 1 3 ^{\frac{3}{2}}} - 40 \frac{3.76298 E 14}{6.25 E 13})

+1

间隔符号

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

求解步骤

\frac{x ^{7}}{40} + \frac{x ^{3}}{10} - 40 x

的定义域

: - \infty < x < \infty

\frac{x ^{7}}{40} + \frac{x ^{3}}{10} - 40 x

的值域:

- \infty < f (x) < \infty

\frac{x ^{7}}{40} + \frac{x ^{3}}{10} - 40 x

的轴截距点

:

X 截距

: (0, 0), (\frac{7.2388 E 14}{6.25 E 13}, 0), (- \frac{7.2388 E 14}{6.25 E 13}, 0),

Y 截距

: (0, 0)

\frac{x ^{7}}{40} + \frac{x ^{3}}{10} - 40 x

的渐近线

:

无

\frac{x ^{7}}{40} + \frac{x ^{3}}{10} - 40 x

的极值点:

极大值

(- \frac{3.76298 E 14}{6.25 E 13}, - \frac{3.76298 E 1 4 ^{\frac{7}{2}}}{40 \cdot 6.25 E 1 3 ^{\frac{7}{2}}} - \frac{3.76298 E 1 4 ^{\frac{3}{2}}}{10 \cdot 6.25 E 1 3 ^{\frac{3}{2}}} + 40 \frac{3.76298 E 14}{6.25 E 13}),

极小值

(\frac{3.76298 E 14}{6.25 E 13}, \frac{3.76298 E 1 4 ^{\frac{7}{2}}}{40 \cdot 6.25 E 1 3 ^{\frac{7}{2}}} + \frac{3.76298 E 1 4 ^{\frac{3}{2}}}{10 \cdot 6.25 E 1 3 ^{\frac{3}{2}}} - 40 \frac{3.76298 E 14}{6.25 E 13})

作图

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