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人気のある微分積分 >

(d^2)/(dx^2)(sin(x^3))

解

\frac{d ^{2}}{d x ^{2}} (sin (x^{3}))

解

3 (- 3 x^{4} sin (x^{3}) + 2 x cos (x^{3}))

解答ステップ

\frac{d ^{2}}{d x ^{2}} (sin (x^{3}))

\frac{d}{d x} (sin (x^{3})) = cos (x^{3}) \cdot 3 x^{2}

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

\frac{d}{d x} (cos (x^{3}) \cdot 3 x^{2}) = 3 (- 3 x^{4} sin (x^{3}) + 2 x cos (x^{3}))

= 3 (- 3 x^{4} sin (x^{3}) + 2 x cos (x^{3}))

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