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人気のある微分積分 >

derivative of 6x-tan(6x)

解

\frac{d}{d x} (6 x - tan (6 x))

解

- 6 tan^{2} (6 x)

解答ステップ

\frac{d}{d x} (6 x - tan (6 x))

和/差の法則を適用:

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

= \frac{d}{d x} (6 x) - \frac{d}{d x} (tan (6 x))

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

\frac{d}{d x} (tan (6 x)) = sec^{2} (6 x) \cdot 6

= 6 - sec^{2} (6 x) \cdot 6

簡素化

6 - sec^{2} (6 x) \cdot 6 : - 6 tan^{2} (6 x)

= - 6 tan^{2} (6 x)

グラフ

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