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人気のある微分積分 >

(\partial)/(\partial x)(cos(xln(y)))

解

\frac{\partial}{\partial x} (cos (x ln (y)))

解

- sin (x ln (y)) ln (y)

解答ステップ

\frac{\partial}{\partial x} (cos (x ln (y)))

y

を定数として扱う

連鎖法則を適用:

- sin (x ln (y)) \frac{\partial}{\partial x} (x ln (y))

= - sin (x ln (y)) \frac{\partial}{\partial x} (x ln (y))

\frac{\partial}{\partial x} (x ln (y)) = ln (y)

= - sin (x ln (y)) ln (y)

人気の例

limit as x approaches+0+of (36-4x^2)/x

x \to + 0 + lim (\frac{36 - 4 x ^{2}}{x})

integral of 2xsqrt(2x-1)

\int 2 x 2 x - 1 d x

derivative of 1/(6x^{5/6})

\frac{d}{d x} (\frac{1}{6 x ^{\frac{5}{6}}})

勾配 (1,1),(4,-1/2)

s l o p e (1, 1), (4, - \frac{1}{2})

(\partial)/(\partial x)(r)

\frac{\partial}{\partial x} (r)