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人気のある関数 >

f(x)=x^7+x^5+1/(x^3)+4x

解

f (x) = x^{7} + x^{5} + \frac{1}{x ^{3}} + 4 x

解

定義域 : x < 0 or x > 0

範囲 : f (x) \leq - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} - \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} - 4 \frac{6.25459 E 15}{1.0 E 16} or f (x) \geq (\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} + (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} + \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} + 4 \frac{6.25459 E 15}{1.0 E 16}

切片 : なし

漸近線 : 垂直 x = 0

極値点 : 最大値 (- \frac{6.25459 E 15}{1.0 E 16}, - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} - \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} - 4 \frac{6.25459 E 15}{1.0 E 16}), 最小値 (\frac{6.25459 E 15}{1.0 E 16}, (\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} + (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} + \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} + 4 \frac{6.25459 E 15}{1.0 E 16})

+1

区間表記

定義域 : (- \infty, 0) \cup (0, \infty)

範囲 : (- \infty, - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} - \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} - 4 \frac{6.25459 E 15}{1.0 E 16}] \cup [(\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} + (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} + \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} + 4 \frac{6.25459 E 15}{1.0 E 16}, \infty)

解答ステップ

以下の領域:

x^{7} + x^{5} + \frac{1}{x ^{3}} + 4 x : x < 0 or x > 0

以下の範囲:

x^{7} + x^{5} + \frac{1}{x ^{3}} + 4 x : f (x) \leq - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} - \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} - 4 \frac{6.25459 E 15}{1.0 E 16} or f (x) \geq (\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} + (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} + \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} + 4 \frac{6.25459 E 15}{1.0 E 16}

以下の軸遮断点:

x^{7} + x^{5} + \frac{1}{x ^{3}} + 4 x :

なし

以下の漸近線:

x^{7} + x^{5} + \frac{1}{x ^{3}} + 4 x :

垂直

: x = 0

以下の極点:

x^{7} + x^{5} + \frac{1}{x ^{3}} + 4 x :

最大値

(- \frac{6.25459 E 15}{1.0 E 16}, - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} - (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} - \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} - 4 \frac{6.25459 E 15}{1.0 E 16}),

最小値

(\frac{6.25459 E 15}{1.0 E 16}, (\frac{6.25459 E 15}{1.0 E 16})^{\frac{7}{2}} + (\frac{6.25459 E 15}{1.0 E 16})^{\frac{5}{2}} + \frac{1.0 E 1 6 ^{3}}{6.25459 E 1 5 ^{3}} + 4 \frac{6.25459 E 15}{1.0 E 16})

グラフ

人気の例

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