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f(x)=(2x^4-1)(5x^3+6x)

解答

f (x) = (2 x^{4} - 1) (5 x^{3} + 6 x)

解答

Domain : - \infty < x < \infty

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

X 截距 : (0, 0), (- \frac{1}{4 2}, 0), (\frac{1}{4 2}, 0), Y 截距 : (0, 0)

Asymptotes : 无

Extreme Points : 极大值 (- \frac{1.83181 E 15}{5.0 E 15}, (\frac{1.83181 E 1 5 ^{2} \cdot 2}{5.0 E 1 5 ^{2}} - 1) (- 5 (\frac{1.83181 E 15}{5.0 E 15})^{\frac{3}{2}} - 6 \frac{1.83181 E 15}{5.0 E 15})), 极小值 (\frac{1.83181 E 15}{5.0 E 15}, (\frac{1.83181 E 1 5 ^{2} \cdot 2}{5.0 E 1 5 ^{2}} - 1) (5 (\frac{1.83181 E 15}{5.0 E 15})^{\frac{3}{2}} + 6 \frac{1.83181 E 15}{5.0 E 15}))

+1

间隔符号

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

求解步骤

(2 x^{4} - 1) (5 x^{3} + 6 x)

的定义域

: - \infty < x < \infty

(2 x^{4} - 1) (5 x^{3} + 6 x)

的值域:

- \infty < f (x) < \infty

(2 x^{4} - 1) (5 x^{3} + 6 x)

的轴截距点

:

X 截距

: (0, 0), (- \frac{1}{4 2}, 0), (\frac{1}{4 2}, 0),

Y 截距

: (0, 0)

(2 x^{4} - 1) (5 x^{3} + 6 x)

的渐近线

:

无

(2 x^{4} - 1) (5 x^{3} + 6 x)

的极值点:

极大值

(- \frac{1.83181 E 15}{5.0 E 15}, (\frac{1.83181 E 1 5 ^{2} \cdot 2}{5.0 E 1 5 ^{2}} - 1) (- 5 (\frac{1.83181 E 15}{5.0 E 15})^{\frac{3}{2}} - 6 \frac{1.83181 E 15}{5.0 E 15})),

极小值

(\frac{1.83181 E 15}{5.0 E 15}, (\frac{1.83181 E 1 5 ^{2} \cdot 2}{5.0 E 1 5 ^{2}} - 1) (5 (\frac{1.83181 E 15}{5.0 E 15})^{\frac{3}{2}} + 6 \frac{1.83181 E 15}{5.0 E 15}))

作图

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