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人気のある微分積分 >

(\partial)/(\partial x)(cos(6x))

解

\frac{\partial}{\partial x} (cos (6 x))

解

- sin (6 x) \cdot 6

解答ステップ

\frac{\partial}{\partial x} (cos (6 x))

連鎖法則を適用:

- sin (6 x) \frac{\partial}{\partial x} (6 x)

= - sin (6 x) \frac{\partial}{\partial x} (6 x)

\frac{\partial}{\partial x} (6 x) = 6

= - sin (6 x) \cdot 6

人気の例

derivative of |x^3+8x^2+5x-50|

\frac{d}{d x} (x^{3} + 8 x^{2} + 5 x - 50)

integral of 1/(2+8x)

\int \frac{1}{2 + 8 x} d x

integral of sec(13w)tan(13w)

\int sec (13 w) tan (13 w) d w

integral from 0 to pi/4 of tan^3(x)

\int_{0}^{\frac{π}{4}} tan^{3} (x) d x

laplacetransform sin(4t)cos(3t)

l a pl a ce t r an s f or m sin (4 t) cos (3 t)