problems on application of derivatives

Differential calculus can be considered as mathematics of motion, growth and change where there is a motion, growth, change. Whenever there is variable forces producing acceleration, differential calculus is the right mathematics to apply. Application of derivatives are us..

Introduction - Let us began this chapter with the following statement: Often a physician may want to test how small changes in dosage can affect the body's response to a particular drug. An economist may want to study how investment changes with variation in interest rates. How the velocity of a he..

Application of Derivatives Animation..

x = a is called a point of inflexion. Rolle's theorem: If a function f(x) is such that (i) f (x) is continuous on [a,b] (ii) f (x) is differentiable on (a,b) and (iii) f (a) = f (b) Geometrical interpretation of Rolle's theorem Let AB be the graph of y = f(x) such that A = (a , f(a)) and B = (b , f..

Applications - After the elementary study in probability, let us see how we can utilise this basic knowledge in solving problems of different are..

Two major applications of probability theory in everyday life are in risk assessment and in trade on commodity markets. Governments typically apply probabilistic methods in environmental regulation where it is called "pathway analysis". Example: In a housing colony 70% of th..

This law is used in comparing the temperature of any two or more systems by the common use of thermometer. For example, in order to compare temperature of two bodies X and Y, the thermometer (analogous to body C) is allowed to come into thermal equilibrium first with body X and then with body Y by..

Vanishing cream gives a thin film on the skin, which is not greasy or conspicuous. This can be used as a powder base or as a face cream for oily skins. It increases dryness and might cause roughness on dry skin..

High performance micro alloys are used in automotive, agricultural, truck and heavy equipment component..

A travelling sales man can find the shortest routes to save time / fuel cost. The most economic and efficient manner of locating manufacturing plants and distribution centres may be used. Linear programming may be used for effective and efficient production management and manpower manageme..