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人気のある微分積分 >

(d^2)/(dx^2)(e^{cos(x)})

解

\frac{d ^{2}}{d x ^{2}} (e^{c o s (x)})

解

e^{c o s (x)} sin^{2} (x) - e^{c o s (x)} cos (x)

解答ステップ

\frac{d ^{2}}{d x ^{2}} (e^{c o s (x)})

\frac{d}{d x} (e^{c o s (x)}) = - e^{c o s (x)} sin (x)

= \frac{d}{d x} (- e^{c o s (x)} sin (x))

\frac{d}{d x} (- e^{c o s (x)} sin (x)) = e^{c o s (x)} sin^{2} (x) - e^{c o s (x)} cos (x)

= e^{c o s (x)} sin^{2} (x) - e^{c o s (x)} cos (x)

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