Introduction ,tangent and normal ,shortest distance ,rate measure ,monotonocity ,rolle''''s ,LMVT,Maxima and minima

Introduction to monotonocity and maxima or minima

Introduction to monotonocity and maxima or minima

What is the shortest distance measured indirectly so far ?

Problems based on Tangent and Normal |Maxima and Minima |Monotonocity

Monotonocity(question on rolles theorem , LMVT)

Length OF tangent and normal || Vertical tangent || Approximations || Rate measure

Tangent & normal : Basic || Shortest distance || Tangent and external point || Concave Up & Concave Down

A car is moving on a straight horizontal road with a speed v. When brakes are applied to give a constant retardation a, the car is stopped in a shortest distance S. If the car was moving on the same road with a speed 3v and the same retardation a is applied, the shortest distance in which the car is stopped will be

G.M of shortest and farthest distances from a point w.r.t a circle S=0 is