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人気のある微分積分 >

(d^2)/(dx^2)(sqrt(x^2+64))

解

\frac{d ^{2}}{d x ^{2}} (x^{2} + 64)

解

\frac{64}{( x ^{2} + 64 ) x ^{2} + 64}

解答ステップ

\frac{d ^{2}}{d x ^{2}} (x^{2} + 64)

\frac{d}{d x} (x^{2} + 64) = \frac{x}{x ^{2} + 64}

= \frac{d}{d x} (\frac{x}{x ^{2} + 64})

\frac{d}{d x} (\frac{x}{x ^{2} + 64}) = \frac{64}{( x ^{2} + 64 ) x ^{2} + 64}

= \frac{64}{( x ^{2} + 64 ) x ^{2} + 64}

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