Suggest the function h(x) = (x^4/4)-(3x)
a) Derive function f that has root at the point where h attains its minimum. Write down the formula for Newton's method applied to f.
b) Take one step (by hand) with Newton's method starting with a guess of xo=1 c)take two steps (by hand) toward the root of f (i.e the minimum of h) using bisection with a=0 and b=4.