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人気のある微分積分 >

derivative of sin((pix^3))

解

\frac{d}{d x} (sin ((π x)^{3}))

解

cos (π^{3} x^{3}) \cdot 3 π^{3} x^{2}

解答ステップ

\frac{d}{d x} (sin ((π x)^{3}))

簡素化

sin ((π x)^{3}) : sin (π^{3} x^{3})

= \frac{d}{d x} (sin (π^{3} x^{3}))

連鎖法則を適用:

cos (π^{3} x^{3}) \frac{d}{d x} (π^{3} x^{3})

= cos (π^{3} x^{3}) \frac{d}{d x} (π^{3} x^{3})

\frac{d}{d x} (π^{3} x^{3}) = 3 π^{3} x^{2}

= cos (π^{3} x^{3}) \cdot 3 π^{3} x^{2}

グラフ

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