solved example of application of derivatives

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..

Conclusion - In this chapter we have learnt the application of derivatives to rate measure, also we have used the geometrical measurement of dy/dx to find the equations of the tangent and normal to a curve at any point on the curve, angle of intersection of the curve..

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

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..

An argument is a statement which assets that a given set of n compound statements p 1 ,p 2 ,..........p n yield another compound statement ..

As we have mentioned earlier that almost every branch of study deals with problems involving differential equation, in this section we solve few examples to exhibit the application of differential equation in various branches of knowledge.As we have mentioned earlier t..

a. To identify criminals in forensic science for solving cases such as murders. b. To identify the true biological father to determine paternity c. To identify racial groups to rewrite biological evolution. d. To verify claims of being relatives to established residents in case of immigra..

Multiple approaches to solve problems Techniques to study patterns and analyze data Problems related to personal income and credit Problems related to financial planning Transformations, symmetr..

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..