(\partial ^2)/(\partial x^2)(sin^2(mx+ny))

解

\frac{\partial ^{2}}{\partial x ^{2}} (sin^{2} (m x + n y))

2 m^{2} cos (2 (m x + n y))

解答ステップ

\frac{\partial ^{2}}{\partial x ^{2}} (sin^{2} (m x + n y))

\frac{\partial}{\partial x} (sin^{2} (m x + n y)) = m sin (2 (m x + n y))

= \frac{\partial}{\partial x} (m sin (2 (m x + n y)))

\frac{\partial}{\partial x} (m sin (2 (m x + n y))) = 2 m^{2} cos (2 (m x + n y))

= 2 m^{2} cos (2 (m x + n y))