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人気のある微分積分 >

(\partial)/(\partial x)(x-y^4)

解

\frac{\partial}{\partial x} (x - y^{4})

解

1

解答ステップ

\frac{\partial}{\partial x} (x - y^{4})

y

を定数として扱う

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (x) - \frac{\partial}{\partial x} (y^{4})

\frac{\partial}{\partial x} (x) = 1

\frac{\partial}{\partial x} (y^{4}) = 0

= 1 - 0

簡素化

= 1

人気の例

limit as x approaches 0 of (tan(a)x)/x

x \to 0 lim (\frac{tan ( a ) x}{x})

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in v erse l a pl a ce \frac{1}{s ( s + 5 )}

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x \to 0 lim (\frac{x ^{3}}{e ^{x} - 1})

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in v erse l a pl a ce \frac{2 a + b}{( s + 1 )}