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Metric space ℝ^n. Multivariable calculus.

Partial derivatives, differential, directional derivative, gradient.

Differentiation of complex and implicitly defined functions.

Tangent plane and normal to an explicitly defined surface.

Higher-order derivatives and differentials.

Multiple and iterated limits of functions of several variables.

Substitution of variables in differential expressions.

Tables and Formulas

Derivative Table.

Table of Derivatives of Composite Functions.

Table of Higher Order Derivatives.

Table of Integrals

Taylor Series

Comparison of functions O(f) and o(f).

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