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

解

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

3 (6 x cos (x^{2}) - 4 x^{3} sin (x^{2}))

解答ステップ

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

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

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

\frac{d}{d x} (3 (sin (x^{2}) + 2 x^{2} cos (x^{2}))) = 3 (6 x cos (x^{2}) - 4 x^{3} sin (x^{2}))

= 3 (6 x cos (x^{2}) - 4 x^{3} sin (x^{2}))