Practice problem
Use Newton's Method to approximate x3x_3x3 for f(x)=e−2x+6−x2; x1=2f(x)=e^{-2x}+6-x^2;\ x_1=2f(x)=e−2x+6−x2; x1=2
x3≈2.45148x_3\approx2.45148x3≈2.45148
x3≈2.64583x_3\approx2.64583x3≈2.64583
x3≈2.29485x_3\approx2.29485x3≈2.29485
Newton's Method fails
Type a concept, like “slope” or “photosynthesis”.
