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人気のある微分積分 >

derivative f(x)=(sin(x))^2

解

導関数

f (x) = (sin (x))^{2}

解

sin (2 x)

解答ステップ

\frac{d}{d x} ((sin (x))^{2})

連鎖法則を適用:

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

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

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

= 2 sin (x) cos (x)

2倍角の公式を使用:

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

= sin (2 x)

グラフ

人気の例

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(\partial)/(\partial x)(f(x,y)(xy))

\frac{\partial}{\partial x} (f (x, y) (x y))

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integral of (x^2+1)/(x(x-1)^3)

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

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

\int sin (3 x) sin (2 x) d x