展開する (13u(f)+d/(df)((u(f))f)=-12u(f))(u(f))

解

展開する

(13 H (f) + \frac{d}{df} ((H (f)) f) = - 12 H (f)) (H (f))

13 H (f)^{2} + H (f) \frac{d}{df} (H (f) f) = - 12 H (f)^{2}

解答ステップ

(13 H (f) + \frac{d}{df} ((H (f)) f) = - 12 H (f)) (H (f))

= (H (f)) (13 H (f) + = \frac{d}{df} ((H (f)) f) - 12 H (f))

括弧を分配する

(H (f)) \cdot 13 H (f) + (H (f)) \frac{d}{df} ((H (f)) f) = (H (f)) (- 12 H (f))

マイナス・プラスの規則を適用する

+ (- a) = - a

13 (H (f)) H (f) + (H (f)) \frac{d}{df} ((H (f)) f) = - 12 (H (f)) H (f)

簡素化

13 (H (f)) H (f) + (H (f)) \frac{d}{df} ((H (f)) f) = - 12 (H (f)) H (f) : 13 H (f)^{2} + H (f) \frac{d}{df} (H (f) f) = - 12 H (f)^{2}

13 H (f)^{2} + H (f) \frac{d}{df} (H (f) f) = - 12 H (f)^{2}