Suppose the line y = 6x - 6 is tangent to the curve y = f(x) when x = 3. If Newton's method is used to locate a root of the equation f(x) = 0 and the initial approximation is x1 = 3, find the second approximation x2.

Question

amistre64 · Answer

newtons method is to use the derivative to determine the equation of a tangent line to the curve; and follow it down till it zeros out on the x axis; then use that new x value in f(x) to determine a new point for derivitations

amistre64 · Answer

it like playing on chutes and ladders :)

anonymous · Answer

Haha.  wish it were that easy...any chance you would be willing to solve for the second approximation for me?

amistre64 · Answer

sure, but I cant quite see what the original f(x) is spose to be yet

is x=3 your first x value?  its hard to make out the problem

amistre64 · Answer

y = 6x - 6 zeros out at x=1; so we have to evaluate f(1) to get a new tangent line to play on

amistre64 · Answer

f'(x) = 0 .... i think you had a typo

amistre64 · Answer

x1 = 3 was the first guess; next is x2, which equals 1

amistre64 · Answer

that is what they are seeking for if i parse the question correctly