Rolles and Lagranges Theorem

Practice Questions With Step-by-Step Solutions Question 1 Verify LMVT for [f(x)=x^{2}-2x] on [[0,3]]. Step-by-Step Solution: Polynomial → continuous & differentiable…

1. Statement of the Theorem If a function [f(x)] satisfies: It is continuous on the closed interval [[a,b]], and It

Practice Questions With Step-By-Step Solutions Question 1 Let [f(x)=x^{3}-3x^{2}-x+3] on [0,3]. Show Rolle’s Theorem applies and find [c]. Step-by-step Solution

1. Statement of the Theorem If a function [f(x)] satisfies all the following three conditions on the closed interval [a,b]: