Solve for positive root of equation: 10 + 3x^2 = e^x
The usual Newton-Raphson formula.
The Attempt at a Solution
f(x) = 10 + 3x^2 - e^x
f'(x) = 6x -e^x
But then my biggest problem, how to find the initial guess? I have looked around, and i can't find a definitive answer on how to find the initial value. From what i understand, i can plot a graph and then look for an estimate. Is that the best method there is?
Anyway, i plotted a graph and i have no idea how to interpret it, as the two curves don't touch on my graph paper, so i can't figure out an estimate. I get a curve with minimum 3x^2 + 10 and the graph of e^x. Is that correct?