Find the point on graph of y=x^2 at which the tangent line is parallel to the line y=6x-1?

2014-06-25 4:30 am
Here is what I have:

(f(x+h)-f(x))/h=((x+h)^2-x^2)/h=2x+h

lim (h approaching 0) 2x+h=2x y=2x (slope)

then I plugged in the slope,6 from above into y
6=2x
x=3

Then y=f(3)
3^2=9

Therefore the answer is 9?

回答 (3)

2014-06-25 4:32 am
Since the question asks for "the point on the graph", the answer would be (3, 9) but you had everything right so good work on that!
2014-06-25 4:31 am
f '(x) = 2x = 6 --->x = 3 , y= 9
2014-06-25 4:31 am
Yes, the answer is (3,9)


收錄日期: 2021-04-30 23:38:01
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20140624203043AA8gtxO

檢視 Wayback Machine 備份