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人気のある微分積分 >

(\partial)/(\partial x)(e^{6x+7y})

解

\frac{\partial}{\partial x} (e^{6 x + 7 y})

解

e^{6 x + 7 y} \cdot 6

解答ステップ

\frac{\partial}{\partial x} (e^{6 x + 7 y})

y

を定数として扱う

連鎖法則を適用:

e^{6 x + 7 y} \frac{\partial}{\partial x} (6 x + 7 y)

= e^{6 x + 7 y} \frac{\partial}{\partial x} (6 x + 7 y)

\frac{\partial}{\partial x} (6 x + 7 y) = 6

= e^{6 x + 7 y} \cdot 6

人気の例

derivative of 2/(1-6x)

\frac{d}{d x} (\frac{2}{1 - 6 x})

integral of 1/9

\int \frac{1}{9}

integral from 0 to 1 of y/(e^{4y)}

\int_{0}^{1} \frac{y}{e ^{4 y}} d y

derivative of xsqrt(x+6)

\frac{d}{d x} (x x + 6)

limit as x approaches infinity of-1/x+1

x \to \infty lim (- \frac{1}{x} + 1)