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Calculation of the nth derivative. Determination of nth derivative of rational functions. The nth derivative of the products of the power of sines and cosines.
Meaning of the sign of derivates. Higher derivative.
Generalized mean value theorem. Unit 2: Functions of two variables. Neighbourhood of a point a,b continuity of a function of two variables. Limit of a function of two variables.
Partial derivatives. Homogenous functions. Theorem on total differentials. Composite functions. Curvature, curvature of a circle. Radius of curvature, length of arc as a functions derivative of arc Radius of curvature : Cartesian equations, parametric equations polar equations, pedal equations.
Center of curvature. Unit 3 : Equations of the first order and of the first degree.
Ordinary differential equations Def , order and degree of a differential equations Def. Non —homogeneous equations conditions that an equations of the first order be exact.
Rule for finding the solution of an exact differential equation. Hope it helps. Thanks for A2A.
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