Thread: Newtons method

WORK OUT!

Use Newton's method to solve cos(3x)-2x+1=0. Show the values of each iteration until you have reached the " best" solution your calculator can display

Hi

Let f(x) = cos(3x)-2x+1 with a representative curve Cf

Start from say
Then is the abscissa of the intersection point between the x axis and the tangent to the curve Cf at the point whose abscissa is

f'(x) = -3 sin(3x)-2
The equation of the tangent to Cf at the point of abscissa is


is given by




Start for example from and then use a calculator to iterate and find the best estimation of the solution