推 lemonbighead:謝謝Jack大的解答~~ 06/13 22:00
※ 引述《lemonbighead (小笨蛋)》之銘言:
: 1. Check directly near which points we can solve the equation F(x,y) =
: y^2+y+3x+1=0 for y in terms of x.
看成y的函數 用公式解去解y,y=(-1+-√-3-12x)/2
: 2. Check that your answer in Exercise 1 agrees with the answer you expect
from the implicit function theorem. Compute dy/dx.
由1. 你的解會是y=(-1+-√-3-12x)/2 即(x,y)=(x,(-1+-√-3-12x)/2)
隱函數定理告訴你你的F對y偏微的值在這點要行列式值=\= 0
當然你偏微一下發現值不等於0
然後這題的dy/dx用大一微積分的隱含數定理就可以算了
: 請各位大大幫不材解惑。感激不盡....
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