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Originally Posted by AntonioLao Calculus deals only with two basic concept 1. derivatives and 2. antiderivatives.
The branch of calculus that deals with derivatives is called differential calculus. The other is integral calculus which deals with antiderivatives.
Derivatives are infinitesimal ratios or slopes of change of the dependent variables and the independent variables.
Antiderivatives are infinitesimal areas of the products between the dependent and independent variables.
Multivariate calculus deals with partial differentiations of partial derivatives and multiple integrals of antiderivatives which include volumes and multidimensional arc lengths, areas and volumes. |
Up to what I know, all antiderivatives are integrals. Or are there antiderivatives which are not integrals?