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
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..
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
The halogen derivatives of aliphatic and aromatic hydrocarbons are called haloalkanes and haloarenes. These are obtained when the hydrogen atom of an alkane and arene is replaced by a halogen atom (F, Cl, Br and I). Their general formulae a..
Introduction
The halogen derivatives of aliphatic and aromatic hydrocarbons are called haloalkanes and haloarenes. These are obtained when the hydrogen atom of an alkane and arene is replaced by a halogen atom (F, Cl, Br and I..
Introduction
Polymers are macro-sized molecules of relatively high molecular mass, which find extensive use in our daily life. Polymers are large but single chain-like molecules in which the repeating unit derived from small molecules called monomers are covalently linke..
Introduction
During the course of study of Mathematics, we must have come across several parts of inverse operations like (addition, subtraction) (multiplication, division) (forming an equation whose roots are given - solving a given equation) and so on. In practical situations, we may be interested to know the..
During the course of study of Mathematics, we must have come across several parts of inverse operations like (addition, subtraction) (multiplication, division) (forming an equation whose roots are given - solving a given equation) and so on. In practical situations, we may be interested to know the..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 hydrocarbo..
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, wh..
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