Roshan Maharjan

Rolle's Theorem and Mean Value Theorem

Rolle's Theorem:If the function f(x) is1) continuous in the closed interval [a,b]2) differentiable in the open interval (a,b)3) f(a)=f(b)then there exists at least one point c belonging to (a,b) ...

L Hospital's Rule

limx→4x2−16x−4limx→∞4x2−5x1−3x2limx→4⁡x2−16x−4limx→∞⁡4x2−5x1−3x2In the first limit if we plugged in x=4x=4 we would get 0/0 and in the second limit if we “plugged” in infinity we would get ∞/−∞∞/−∞...

Differentials

Differentials:In calculus, the differential represents the principal part of the change in a function y = f(x) with respect to changes in the independent variable. The differential dy is defined b...