問題詳情
3設u(t), v(t), w(t) 為三向量函數，則下列何者錯誤？
(A)(cv(t))′ = cv′(t) （c 為一常數）
(B)(u(t) + v(t))′ = u′(t) + v′(t)
(C)(u(t) • v(t))′ = u′(t) • v(t) + v′(t) •u(t)
(D)(u(t)× v(t))′ = u′(t)× v(t) + v′(t)×u(t)
(A)(cv(t))′ = cv′(t) （c 為一常數）
(B)(u(t) + v(t))′ = u′(t) + v′(t)
(C)(u(t) • v(t))′ = u′(t) • v(t) + v′(t) •u(t)
(D)(u(t)× v(t))′ = u′(t)× v(t) + v′(t)×u(t)
參考答案
答案：D
難度：適中0.5
統計：A(1),B(0),C(0),D(1),E(0)
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