application of derivatives summary

Summary - Let y = f(x) be a smooth curve and P(x,y) be a point on the curve. Equation of the tangent at (x 1 , y 1 ) in the curve y = f (x) is y - y..

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..

Application of Derivatives Animation..

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..

Aldehydes, ketones, carboxylic acids and their functional derivatives (aryl halides, acid anhydrides, esters and amides) contain a carbonyl group and are highly polar molecule..

The point of application of force must move in the direction of forc..

Polymers - high molecular mass macro-sized molecules consisting of repeating units of monomers - may be synthetic or natural in origin. Addition polymerization are usually performed on alkenes and their derivatives and proceed through chain growth mechanism involving radicals, cation..

International System of (SI) unit has been adopted for measurement by scientists all over the world. Three fundamental units needed in physics are those of lengths, mass and time. Units of all other physical quantities we come across in physics are derived from these fundamental u..

Science is the way by which a person gets at the truth or at least as close to truth as possible. The basis of science is its orderly stepwise procedure - the scientific method. Scientific method employs various procedures such as, accurate observation, asking questions about the observatio..

>A chemical equation is balanced so that the numbers of atoms of each type involved in a chemical reaction are the same on the reactant and product sides of the equation Equations must always be balanced. Equations are balanced by the hit and trial method. The rate of a chemical reaction depends on..