(\partial)/(\partial t)(x+ysin(t))

해법

\frac{\partial}{\partial t} (x + y sin (t))

y cos (t)

솔루션 단계

\frac{\partial}{\partial t} (x + y sin (t))

x, y

을 상수로 처리합니다

합계/차이 규칙 적용:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial t} (x) + \frac{\partial}{\partial t} (y sin (t))

\frac{\partial}{\partial t} (x) = 0

\frac{\partial}{\partial t} (y sin (t)) = y cos (t)

= 0 + y cos (t)

단순화

= y cos (t)