For the initial value x$0=2,$ approximate the root of f$($x$)=$x$36$x$+1$ using newton rahpson method. Perform calculation until the third iteration i$.$e$.$ x$3.$ Try to use python to solve this problem. Practice lambda functions.

$2\mathrm{.}28$

$2\mathrm{.}48$

$2\mathrm{.}5$

$2\mathrm{.}36$