Higher Derivatives, Taylor Introduction

Related lectures (28)

Page 2 of 3

Explores inflection points, convexity, concavity, and asymptotes in functions, with examples and applications.

Explores finding the equation of the tangent line to a function's graph at a point.

Covers Riemann sums, definite integrals, Taylor series, and exponential of complex numbers.

Covers the concept of functions being n+1 times differentiable and the Taylor formula.

Explores Taylor series expansions for derivatives and integrals, with a focus on multiple derivatives and error terms.

Explores Taylor series, derivatives, and approximations in mathematical analysis.

Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.

Introduces Taylor polynomials for function approximation, starting with linear and quadratic forms and then generalizing to higher orders.

Presents the solution to finding the second-order Taylor polynomial of a function.

Explores numerical differentiation using finite differences and addresses the impact of errors in computer computations.