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人気のある微分積分 >

(\partial)/(\partial x)(e^{6x+9y})

解

\frac{\partial}{\partial x} (e^{6 x + 9 y})

解

e^{6 x + 9 y} \cdot 6

解答ステップ

\frac{\partial}{\partial x} (e^{6 x + 9 y})

y

を定数として扱う

連鎖法則を適用:

e^{6 x + 9 y} \frac{\partial}{\partial x} (6 x + 9 y)

= e^{6 x + 9 y} \frac{\partial}{\partial x} (6 x + 9 y)

\frac{\partial}{\partial x} (6 x + 9 y) = 6

= e^{6 x + 9 y} \cdot 6

人気の例

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a re a y = \frac{1}{2} x, y = 1, y = \frac{1}{25} x^{2}

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n = 5 \sum \infty sin (\frac{1}{n ^{2}})

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