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
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).