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 | |
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angle approximation asymptote axis cartesian circle cone Consider constant continuous coordinates corresponding cos² cos³ cosec cosh decreasing denote derivative differentiable divergent dx dy dy dx dy/dx elements ellipse f(p+h following curves ft./sec function given hyperbola independent variables intersect interval limit loge mean value theorem minimum monotonic monotonic decreasing neighbourhood origin parabola particle pedal equation plane point of inflexion polar equation positive pedal prove radius of curvature real numbers relative maximum respect Rolle's theorem satisfied sec² sequence set of points Similarly simple harmonic motion sin² sin³ sinh straight line subtangent surface surface of revolution tangent tanh u-series is convergent values velocity x²+y² y₁ zero ди ди дх ду