Maths in FOCUS.

The given text provides a comprehensive explanation of mathematical concepts and formulas related to binomial coefficients, derivatives, continuity, and differentiability. It covers topics such as the binomial theorem, properties of continuous and differentiable functions, and formulas for finding derivatives of various functions. The text also includes specific formulas for trigonometric, exponential, and logarithmic functions. This information can be valuable for library patrons conducting research on these specific mathematical topics, particularly in the fields of calculus and mathematical analysis. [Extracted from the article]