## Elements of Differential Calculus for Mathematics, Physics and Engineering Students |

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### Contents

Introduction | 1 |

Sets Functions Relations and Graphs | 3 |

Their Limits and Convergence | 26 |

Copyright | |

13 other sections not shown

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### Common terms and phrases

absolute convergence acceleration angle axis called Cartesian centre circle coincident points concave upwards Consider constant corresponding cos2 cosec cosh cusp defined denote derivative determine differentiable distance divergent dx dy dy dx dyjdx elements ellipse envelope Find the equation following curves ft./sec given hyperbola Illustrative Examples increasing increment independent variables integer intersect interval limit M-series M-series is convergent mean value theorem minimum monotonic decreasing negative neighbourhood origin parabola parallel particle pedal equation perpendicular plane point of inflexion polar curve polar equation positive pedal prove radius of curvature real numbers relative maximum respect Rolle's theorem satisfied sequence Sn set of points Similarly simple harmonic motion sin2 sinh slope standard of approximation straight line Substituting subtangent surface surface of revolution tangent tanh Taylor's tion velocity x*+y zero