Elements of the Infinitesimal Calculus

1+x² angle Assuming asymptote axis Calculus circle converging Corollary cos² coversin curvature curve cx² cycloid d²u d²y d³y derivatives determine differential equation dr p2 du du dx dx dx dy dx dx dz dx² dx³ dy dx dy dx dy dy dy dy dz dy² dz dx dz dy dz dz elimination ellipse exact differential EXAMPLES expression F(x+h factor finite given equation Hence increment independent variable infinitesimal integral limit logarithmic spiral Maclaurin's formula maximum or minimum method obtain plane polar coördinates Problem radius ratio reduce render sec² sin² sin³ singular solution Ssin substitution subtangent surface tang tangent line value of dy versin whence x² dx xm dx