*This preview shows
pages
1–13. Sign up
to
view the full content.*

This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*
**Unformatted text preview: **estimate: x2 = x1 f(x1) f (x1) Repeated application of this process is called Newtons Method. Each successive application of this procedure is called an iteration . Newtons Method for Approximating the Zeros of a Function 1. Make an initial estimate x1 that is close to c. (A graph is helpful.) 2. Use the first approximation to get a second, the second to get a third, and so on, using xn+1 = xn f(xn) f (xn) Defn: Differentials Let y = f(x) be differentiable function. The differential dx is an independent variable. The differential dy is ( ) dy f x dx = Differential Estimate of Change ( ) df f a dx = Change in f True Estimated Absolute Change Relative Change Percentage Change ( ) ( ) f f a dx f a = +-( ) df f a dx = ( ) f f a ( ) df f a 100 ( ) f f a 100 ( ) df f a Joke Time Who was the dancing Vice-President in 2000? Al-gore rhythum What does a lumberjack do to trees? axi-oms...

View
Full
Document