作者LuisSantos (^______^)
看板trans_math
標題Re: [微分] 93成大企管
時間Mon Dec 3 00:38:02 2007
※ 引述《bitchdog (PEaCE)》之銘言：
: if f(x)=x^2 , h(x)=f(1+g(x)) , g'(1)=1 and h'(1)=1 , then g(1)=?
h(x) = f(1 + g(x))
h'(x) = (f'(1 + g(x)))(g'(x))
h'(1) = (f'(1 + g(1)))(g'(1))
1 = (f'(1 + g(1)))(1)
f'(1 + g(1)) = 1
f(x) = x^2 => f'(x) = 2x
f'(1 + g(1)) = (2)(1 + g(1)) = 1
1 -1
1 + g(1) = --- => g(1) = ---
2 2
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