Applications of Derivatives (NDA) — UPSC National Defence Academy and…
Concept of a real valued function - domain, range and graph of a function. Composite functions, one to one, onto and inverse functions. Notion of limit, Standard limits - examples. Continuity of functions - examples, algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of a derivative - applications. Derivatives of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function. Second order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima.
- Exam: UPSC National Defence Academy and Naval Academy Examination (NDA and NA)
- Section: Paper I - Mathematics (300M/150min)