微積分,請問圈起來的題目怎麼解?

2015-09-29 2:18 pm

回答 (2)

2015-09-29 3:18 pm
✔ 最佳答案
先求斜率dy/dx=2x
對於斜率是2x的切線通過y=x^2 於 (m, m^2)這點
則可推出切線公式是y=2mx-m^2

(0, a)代入切線公式, 得m^2=-a
m要有解的話, a<0

將(a, 0)代入切線公式, 0=(2a-m)m
要有解的話m=0, 或a=m/2
2015-09-29 3:06 pm
y'=2x
(a) (0,a) => (0,0)
Tangent line: y-0=2(0)(x-0)
y=0

(b) (a,0) =>(0,0)
Tangent line: y=0

Are there any restrictions on the constant a?
ANS: a must be 0


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