展開する (1-x^2) derivative of+2y

解

展開する

(1 - x^{2}) \frac{d}{d x} (+ 2 y)

\frac{d}{d x} (2 y) - x^{2} \frac{d}{d x} (2 y)

解答ステップ

(1 - x^{2}) \frac{d}{d x} (2 y)

分配法則を適用する:

a (b - c) = ab - a c

a = \frac{d}{d x} (2 y), b = 1, c = x^{2}

= \frac{d}{d x} (2 y) 1 - \frac{d}{d x} (2 y) x^{2}

= 1 \frac{d}{d x} (2 y) - x^{2} \frac{d}{d x} (2 y)

乗算:

1 \frac{d}{d x} (2 y) = \frac{d}{d x} (2 y)

= \frac{d}{d x} (2 y) - x^{2} \frac{d}{d x} (2 y)