
#1
Nov1510, 04:54 PM

P: 9

1. The problem statement, all variables and given/known data
Find, correct to 6 decimal places, the coordinates of the points on the curve y=x^4 that are closest to the point (0,1) 2. Relevant equations 3. The attempt at a solution I am not sure if i am supposed to use newtons method or not 



#2
Nov1510, 05:38 PM

Mentor
P: 16,593

Take an arbitrary point on the curve y=x^4. This has the form (x,x^4). What is the distance between this point and (0,1)??
You'll need to minimize this distance (or rather its square, to keep the calculations manageable). 



#3
Nov1510, 05:39 PM

Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 11,525

Newton's method will certainly work. Give it a try.



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