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人気のある微分積分 >

derivative f(x)=sin(4x)-cos(3x)

解

導関数

f (x) = sin (4 x) - cos (3 x)

解

4 cos (4 x) + 3 sin (3 x)

解答ステップ

\frac{d}{d x} (sin (4 x) - cos (3 x))

和/差の法則を適用:

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

= \frac{d}{d x} (sin (4 x)) - \frac{d}{d x} (cos (3 x))

\frac{d}{d x} (sin (4 x)) = cos (4 x) \cdot 4

\frac{d}{d x} (cos (3 x)) = - sin (3 x) \cdot 3

= cos (4 x) \cdot 4 - (- sin (3 x) \cdot 3)

簡素化

= 4 cos (4 x) + 3 sin (3 x)

グラフ

人気の例

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\frac{d y}{d x} = x^{3} + x^{2} - 5 x + 11

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\int_{1}^{1000} \frac{21}{x ^{3}} d x

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