h(x)=2x4+x2+3x−20h(x) = 2x^4 + x^2 + 3x - 20h(x)=2x4+x2+3x−20
Find h′(x)h'(x)h′(x)
The root of h(x)=0h(x) = 0h(x)=0 lies in the interval [1.4,1.8][1.4, 1.8][1.4,1.8].
Use the Newton-Raphson method, starting with x0=1.6x_0 = 1.6x0=1.6, to find the root of h(x)=0h(x) = 0h(x)=0 to 3 decimal places.