Newton's Method for Approximating Zeros
Read this topicExplanations 3
- Newton's Method allows us to approximate the zeroes of any function, by using derivatives. The process is relatively simple: Suppose we want to estimate a zero of f(x)f(x)f(x). …
By Steven Kwon, Alex Federspiel
- (Video) Newton's Method by PatrickJMT Here's a video by patrickJMT where he explains how Newton's Method works and how you use it to find the zeros of functions. Newton's Method…
By Alex Federspiel
- (Videos) Newton's Method Example by PatrickJMT Here's a video by patrickJMT where he goes over some more examples using Newton's Method. The problem he looks at is: Compute two …
By Alex Federspiel
Problems 10
- 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
- Use Newton's Method to approximate x3x_3x3 for f(x)=x2(3−x3); x1=12f(x)=x^2(3-x^3);\ x_1=\frac12f(x)=x2(3−x3); x1=21
- Use Newton's Method to approximate x3x_3x3 for f(x)=sin(x−π); x1=3π2f(x)=\sin(x-\pi);\ x_1=\frac{3\pi}{2}f(x)=sin(x−π); x1=23π
- Use Newton's Method to approximate x3x_3x3 for f(x)=lnx; x1=2f(x)=\ln x;\ x_1=2f(x)=lnx; x1=2
- Use Newton's Method to approximate x3x_3x3 for f(x)=3−2x2; x1=0f(x)=3-2x^2;\ x_1=0f(x)=3−2x2; x1=0
- Use Newton's Method to approximate x3x_3x3 for f(x)=3−2x2; x1=1f(x)=3-2x^2;\ x_1=1f(x)=3−2x2; x1=1
- Use Newton's Method to approximate 3205\sqrt[5]{320}5320 correctly to eight decimal places.
- Use Newton's Method to approximate lnπ\ln\pilnπ correctly to five decimal places.
- Use Newton's Method to approximate x3x_3x3 for f(x)=x1000−20; x1=1f(x)=x^{1000}-20;\ x_1=1f(x)=x1000−20; x1=1 Round to the nearest thousandth.
- Use Newton's Method to find the absolute minimum of the function f(x)=x2+2sinxf(x)=x^2+2\sin xf(x)=x2+2sinx correct to four decimal places.