Examples and Solutions in the Differential Calculus

1+p² 1+x² a²-x² a²+b² a²+x² a²y angle asymptote asymptotic circle axes centre chord co-ordinates common parabola constant contrary flexure coseco cosx cuts the axis d²u d2u d2u d2y dx2 d³u diameter differential coefficient distance draw du du dx d2u dx dy dx dz dx² dx2 dy2 dy dy dy dz e²x² eliminate ellipse equal evolute find the equation function given Hence hyperbola Inscribe the greatest intersection J. F. HEATHER latus rectum locus logarithmic maxima and minima maximum or minimum normal NP=y origin osculating circle perpendicular point of contrary polar equation positive prove radius of curvature right-angles Scott Burn secx semicubical parabola sinx spiral straight line substituting subtangent tangent Taylor's theorem trace the curve triangle variable vertex x²+y2 x²y