an introduction to derivatives


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Application of Derivatives Introduction
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 veloci..
Carboxylic Acids and its Derivatives - Introduction
functional formula of carbonyl group Carbon compounds containing a carboxyl functional group -COOH are called carboxylic acids. A carboxyl group is constituted of two groups - a carbonyl group and a hydroxyl group -OH. Carboxylic acids may be aliphatic (R-COOH) or aromatic (Ar-COOH) depending on whether -COOH group is attached to..
Functional Derivatives Of Carboxylic Acids - Introduction
Replacement of hydroxyl group in carboxylic acids with a halogen, carboxylate, alkoxy or amino group gives functional derivatives of carboxylic acid known as acyl halides, acid anhydrides, esters or amides respectivel..
Introduction
Integration and differentiation are a pair of inverse operations. So far, from a given function, we have been finding its derivative but the question arises: what is the function whose derivative is known? If the derivative of a function is given, then the functi..
Introduction
Organic chemistry is that branch of chemistry which deals with the study of compounds of carbon with hydrogen (hydrocarbons), and their derivatives. Presently about five million organic compounds are know..
Introduction
The simplest organic compounds are hydrocarbons. All organic compounds can be derived from hydrocarbons by substituting a hydrogen atom with a suitable functional group. Replacing a hydrogen atom by a OH group in a hydrocarbon, gives an alcohol: replacement of H atom in a hydrocarbon by C..
Introduction
The derivative, measures the rate at which the dependent variable changes with respect to the independent variable. It is one of the most important ideas in Calculus. The differentiation of functions are widely used in science, economics, medicine and computer scienc..
Introduction
The term ecology is derived from two Greek words (oikos - means 'house' or place to live and logos means 'a discussion or study'). Literally, ecology is the study of organism 'at home' in their native environment. The term was first introduced by Reiter in 1868, but was fully define..
Introduction
Cyanides are characterized by the presence of cyano (-CN) group in their molecules. They are considered to be the derivatives of hydrogen cyanide (HCN) in which H atom is replaced by alkyl or aryl group. If -CN group is linked to alkyl group, the compound is called alkyl cyanide, whereas ..
Introduction
This chapter contains oxygen compounds in which oxygen is bonded to a carbon atom through a double bond. The functional unit >C = O, present in these compounds is called carbonyl group. We limit our study now to compounds having an acyl group (R - C = O) is bonded to hydrogen, carbon, oxyg..
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