Continuous Function | Removable, essential, and jump discontinuities?
The two underlying mathematical operations in Calculus are Differentiation & Integration. These operations involve the computation of the derivative and the definite integral, each based on the notions of limit and continuity. Indeed, continuous function is the...
Piecewise Function | How to graph a piecewise function? | Intro & Uses
What is a Piecewise Function? Certain functions are defined differently in different parts of their domain and are thus more naturally expressed in terms of more than one formula. We refer to such a function as a piecewise function or a piecewise-defined function....
Rolle’s Theorem: A Special Case Of Lagrange’s Mean Value Theorem
Rolle’s Theorem ContentRolle’s theorem statement: What are its three conditions? Rolle’s Theorem ProofGeometric Interpretation Of Rolle’s TheoremExamples: How do you find ‘c’ in Rolle’s theorem?Discuss the validity of Rolle’s theorem. Find...
