These formulas make the approximations for the derivatives at these points in a nonsymmetrical manner . 这些公式使得这些点子上的导数近似式是非对称形式。
The difference between an ordinary and a partial derivative was at first not explicitly recognized . 通常的导数与偏导数的区别在一开始并未被人们明确地认识。
Too high a degree polynomial produces lower residuals, but at the expense of smoothness in the derivative . 一个很高次数的多项式会产生较低的残差，但却要破坏导数的光滑性。
In other coordinates it will involve second and possibly first derivatives with respect to time . 在别的坐标系中，它除了包含对时间的二阶微商外，还可能会包含对时间的一阶微商。
Iodine derivatives are ineffective since they tend to form molecular iodine which is a powerful retarder . 碘的衍生物是无效的。因为它有形成分子碘的倾向，而是强的阻聚剂。
Ketones are named by the iupac system as derivatives of the class name for this homologous series, "alkanones. " 在IUPAC系统中，酮是作为这个系列的类名“烷属酮”的衍生物来命名的。
Treatments of pyrylium salts with various nucleophilic reagents allows the production of a host of functionalized derivatives . 如果各种亲核试剂与吡喃盐反应，就可制取许多种带官能基的衍生物。
These derivatives are readily obtained by alkylation of 2-mercaptopyridine and alkyl halides under alkaline conditions . 这些衍生物可以容易地在碱性条件下通过2-巯基吡啶和卤代烷的烷基化而得到。
Reports in the literature suggest that these derivatives can initiate various types of polymerizations in suitable circumstances . 文献中的报道指出，这些衍生物在适宜的条件下可以引发出多种聚合反应。
