expl
x^2- = 0
Newton's method is an algorithm step-by-step procedure for carrying out computation.
Xn+1=Xn-(f(Xn) / (f^1(Xn)
Find the derivative - is a measurement of how a function changes when the values of its inputs change. f(x)=x^2- Use the Newton's method.
f'(x)=2x+0
Setup the formula or rule to find the X2 approximation.
X2=X1- (f(x1)/(f^1(X1)
Substitute the value of into the next Newton's Method approximation.
X2 =1 - ((1)^2-)/(2(1)+0
X2.
x2=1
Since the 2th and 1th approximations are equal to 4 decimal places, 1 is the approximation of the root.
1
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