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人気のある微分積分 >

(\partial)/(\partial x)(e^{3x-y})

解

\frac{\partial}{\partial x} (e^{3 x - y})

解

e^{3 x - y} \cdot 3

解答ステップ

\frac{\partial}{\partial x} (e^{3 x - y})

y

を定数として扱う

連鎖法則を適用:

e^{3 x - y} \frac{\partial}{\partial x} (3 x - y)

= e^{3 x - y} \frac{\partial}{\partial x} (3 x - y)

\frac{\partial}{\partial x} (3 x - y) = 3

= e^{3 x - y} \cdot 3

人気の例

tangent f(x)=3e^{1-x^2},(1,3)

t an g e n t f (x) = 3 e^{1 - x^{2}}, (1, 3)

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n = 0 \sum \infty - \frac{1}{5 ^{n}}

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x \to - 5 lim (\frac{x + 5}{x + 5})

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\int ln (x^{- 2}) d x