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人気のある微分積分 >

derivative of-sin(x-2cos(x))

解

\frac{d}{d x} (- sin (x) - 2 cos (x))

解

- cos (x) + 2 sin (x)

解答ステップ

\frac{d}{d x} (- sin (x) - 2 cos (x))

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (sin (x)) - \frac{d}{d x} (2 cos (x))

\frac{d}{d x} (sin (x)) = cos (x)

\frac{d}{d x} (2 cos (x)) = - 2 sin (x)

= - cos (x) - (- 2 sin (x))

簡素化

= - cos (x) + 2 sin (x)

グラフ

人気の例

integral of (sin^2(x)cos^3(x))

\int (sin^{2} (x) cos^{3} (x)) d x

inverselaplace 1/s*1/((s^2+3s+4))

in v erse l a pl a ce \frac{1}{s} \cdot \frac{1}{( s ^{2} + 3 s + 4 )}

integral of sin^3(xco)s^4x

\int sin^{3} (x co) s^{4} x d x

derivative of 2+4x^{3/2}

\frac{d}{d x} (2 + 4 x^{\frac{3}{2}})

derivative of ln(1-5x^2+x^3)

\frac{d}{d x} (ln (1 - 5 x^{2} + x^{3}))