## A text-book of differential calculus: with numerous worked out examples (Google eBook) |

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according adjoined figure arc AP axis cardioid cartesian equation catenary centre of curvature circle cissoid consequently constant coordinates corresponding cos2 cosec cosh cycloid definition denote different from zero Differential Calculus differential coefficient domain dx dx ellipse Eolle's theorem equal Equating to zero equiangular spiral Eule evolute Examples on Chapter Find the asymptotes Find the differential Find the envelope finite following curves following functions formula function f(x given point h _ lim Hence indeterminate form infinite initial line integer Let f(x lim p(x limit logarithmic spiral Math maxima and minima maximum minimum normal Note parameter pedal equation perpendicular points of inflexion pole prove radius of curvature radius vector respectively sec2 semi-cubical parabola Show simplest polar equation sin2 straight line subnormal subtangent tangent Taylor's theorem tends to zero tractrix Tripos x—axis y=mx zero or different zero the coefficients