Pages similar to: Linear and quadratic Taylor polynomial problems
- Solutions to linear and quadratic Taylor polynomial problems
Solutions to sample problems involving first and second order Taylor polynomials. - Introduction to Taylor's theorem for multivariable functions
Development of Taylor's polynomial for functions of many variables. - The idea of the derivative of a function
The derivative of a function as the slope of the tangent line. - Derivatives of polynomials
How to compute the derivative of a polynomial. - Derivatives of more general power functions
How to compute the derivative of power functions. - A refresher on the quotient rule
How to compute the derivative of a quotient. - A refresher on the product rule
How to compute the derivative of a product. - A refresher on the chain rule
How to compute the derivative of a composition of functions. - Related rates
Calculating one derivative in terms of another derivative. - Intermediate Value Theorem, location of roots
Using the Intermediate Value Theorem to find small intervals where a function must have a root. - Newton's Method
A method to approximate the roots to an equation. - Derivatives of transcendental functions
A list of formulas for taking derivatives of exponential, logarithm, trigonometric, and inverse trigonometric functions. - L'Hospital's rule
A way to simplify evaluation of limits when the limit is an indeterminate form. - The second and higher derivatives
Taking derivatives multiple times to calculate the second or higer derivative. - Inflection points, concavity upward and downward
Finding points where the second derivative changes sign. - Taylor polynomials: formulas
Different ways of writing Taylor's formula with remainder term. - Classic examples of Taylor polynomials
Some of the most famous (and important) examples of Taylor expansions. - Computational tricks regarding Taylor polynomials
A short cut to calculating Taylor polynomials in terms of Taylor polynomials of simple functions. - Prototypes: More serious questions about Taylor polynomials
Questions regarding using Taylor polynomials to approximate a function over an interval. - Determining tolerance/error in Taylor polynomials.
Calculating with what tolerance a Taylor polynomial approximates a function on an interval.