Suppose F(x) = g ( f (x) ) and f(1) = 4, f'(1) = -3, g(4) = 1 and g'(4) = 2.
Find F'(1).
Differentiation
2011-12-15 5:08 am
回答 (1)
2011-12-15 5:18 am
✔ 最佳答案
F(x) = g[f(x)]F'(x) = g'[f(x)] * f'(x) (by chain rule)
F'(1) = g'[f(1)] * f'(1) = g'(4) * 3 = 2*3 = 6
2011-12-14 21:20:26 補充：
F'(1) = g'[f(1) * f'(1) = g'(4) * (-3) = 2*(-3) = 6
2011-12-14 21:20:38 補充：
-6
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原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20111214000051KK00766