Ahhh yeah you're right. I forgot that you can use the L(x) equation and turn it into Newton's Method XD I'm still confused on where to start though for this problem.
The approximations that I got were around 1.7024 and 1.4022 if I remember correctly; they were around that range. That makes sense equaling it out to zero, we did not go over that in class though.
Use Newton's Method to approximate a critical number of the function $$\displaystyle f(x) = \frac{1}{2} x^8 + \frac{6}{5} x ^5+ 2 x +10$$ near the point $$ x = 2 $$. Use $$ x_1 = 2 $$ as the initial approximation. Find the next two approximations, x_2 and x_3, to four decimal places each.I...