Derivatives and Integrals

Related lectures (30)

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Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.

Explores partial derivatives, Taylor formula, examples, and extrema of functions.

Covers the concept of functional derivatives and their calculation process with examples.

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

Explores derivatives, functions, limits, and tangent lines in calculus.

Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.

Explores partial derivatives of functions with multiple variables, emphasizing their definitions and properties.

Explores derivatives, reciprocal functions, and continuity of functions with examples and formulas.

Covers limits and derivatives in multivariable functions, focusing on continuity, partial derivatives, and the gradient.

Covers differentiability, derivatives, continuity, and matrices in functions from R^n to R^m.