Calculus

Related lectures (21)

Explores directional derivatives in two-variable functions and extremum points.

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.

Covers Taylor approximation, convex functions, and integrable properties.

Explores improper integrals, convergence criteria, comparison theorems, and solid revolution.

Covers the conditions for finding absolute extrema in multivariable functions.

Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.

Discusses optimization techniques, focusing on local and global extrema in functions.

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

Explores the extension of the chain rule to higher dimensions and compositions of functions.

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

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

Covers the derivative of the composition of two functions and the chain rule theorem.

Explores applications of differential calculus, including theorems, convexity, extrema, and inflection points.

Explores limits, derivation rules, integrals, and exact differentials for practical applications.

Covers derivatives, hyperbolic functions, and theorems of Rolle and finite increments.

Explores derivatives and approximations, focusing on logarithmic functions and their properties.

Covers derivatives, continuity, Rolle's Theorem, function examples, and extrema.

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

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