(\partial)/(\partial x)(sin(pix))

解

\frac{\partial}{\partial x} (sin (π x))

cos (π x) π

解答ステップ

\frac{\partial}{\partial x} (sin (π x))

連鎖法則を適用:

cos (π x) \frac{\partial}{\partial x} (π x)

= cos (π x) \frac{\partial}{\partial x} (π x)

\frac{\partial}{\partial x} (π x) = π

= cos (π x) π