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单词 differentiation
释义

differentiation

The process of obtaining the derived function f ′ from the function f, where f ′(x) is the derivative of f at x. (For the derivatives of certain common functions, see appendix 7.) From these many other functions can be differentiated using the following rules of differentiation:

(i) If h = kf, where k is a constant, then h′ = kf ′.
(ii) If h = f + g, then h = f ′ + g′.
(iii) The product rule: If h = fg, then h′ = fg′ + f ′g.
(iv) The quotient rule: If h = f/g and g(x) ≠ 0 for all x, then

(v) The chain rule: If h(x) = (f ∘ g)(x) = f(g(x)) for all x, then h′(x) = f′(g(x))g′(x).
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更新时间:2025/4/29 3:50:41