Home › AP Calculus AB › Mathematics › Applications of Derivatives › An iterative technique for finding zeroes, built…
An iterative technique for finding zeroes, built on tangent line approximations, is:
ANapier's method
BNorton's method
CNewton's method
DNelson's method
Answer & Solution
Correct answer: C. Newton's method
1. Each step draws a tangent and follows it to the axis.
2. That crossing becomes the next guess.
3. The technique is Newton's method.
_Source: OpenStax Calculus Volume 1, Chapter 4, Applications of Derivatives._
Related questions
A tank is draining and a student is asked how fast the depth falls when the volume is chanThe notation used for a family of antiderivatives, complete with its constant, is the:Knowing an object's velocity, a student recovers its position by finding an:A function whose derivative is the given function is called its:Calculators and computers rely on that same tangent-based idea when they find:The rule that resolves such a limit by differentiating numerator and denominator separatelA limit produces the form zero over zero, so its behaviour cannot be read off directly. ThA farmer wants the largest area from a fixed length of fencing. Setting up and solving tha