d/(dy)((x(y))(y-1))

해법

\frac{d}{d y} ((x (y)) (y - 1))

x (2 y - 1)

솔루션 단계

\frac{d}{d y} ((x (y)) (y - 1))

x

을 상수로 처리합니다

정수를 빼라:

(a \cdot f)^{'} = a \cdot f^{'}

= x \frac{d}{d y} (y (y - 1))

곱 규칙 적용:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = y, g = y - 1

= x (\frac{d y}{d y} (y - 1) + \frac{d}{d y} (y - 1) y)

\frac{d y}{d y} = 1

\frac{d}{d y} (y - 1) = 1

= x (1 \cdot (y - 1) + 1 \cdot y)

x (1 \cdot (y - 1) + 1 \cdot y)

간소화하다 :

x (2 y - 1)

= x (2 y - 1)