Maths Continuity and Differentiability Formulas: Calculus comprises nearly half of the curriculum of the CBSE class 12 mathematics syllabus. Chapter 5 Continuity and Differentiability is one of the ...

CBSE 2025 Competency-Based Questions: The Central Board of Secondary Education (CBSE) has officially released the practice question paper for the academic year 2024-25, for the class 12th on its ...

If \(f\) is differentiable on \([-1,1]\) then \(f\) is continuous at \(x=0\text{.}\) If \(f'(x)\lt 0\) and \(f"(x)>0\) for all \(x\) then \(f\) is concave down ...

Initial value problems for first order partial functional almost linear equations with unbounded delay are considered. The functional dependence is represented by the generalized Hale operator with ...

In this paper, a new filled function with only one parameter is proposed. The main advantages of the new filled function are that it not only can be analyzed easily, but also can be approximated ...