Taylor Series: Derivatives and Approximations

Related lectures (28)

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Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

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

Explores approximating functions with Taylor series, showcasing step-by-step calculations and practical applications.

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

Covers the calculation of Taylor polynomials, higher derivatives, and Taylor series using examples.

Covers the Taylor formula and limit development for functions with multiple derivatives.

Explores limited and Taylor formulas for derivatives around specific points.

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

Covers the Mean Value Theorem, l'Hopital rule, Taylor's approximation, and more.