An Elementary Treatise on the Differential and Integral Calculus

A₁ algebraical approaches zero arbitrary constant Assume asymptote becomes coordinates cos² cosec² curve d²u d²x d²y determine df(x differentials of x dR dR du du dx a² dx dx dx x² dx² dx³ dy dy dy² dz² entials equation expressions finite Gregory's Examples Hence impossible roots increments independent variable indeterminate infinite integer Lagrange's theorem limiting value loga maxima and minima maximum or minimum method minima values mx dx notation obtain original equation pairs of impossible partial differential coefficients partial fractions particular value positive integer powers of h quantities radius rational fraction reduced respect satisfy sec² sin² sinx substituting successive differentials tangent Taylor's theorem total differential transformed value of f(x vanish xm dx Δα Δυ Δχ Ду Дх И₂