integration by parts derivative

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 expression, which when multiplied to a non-exact differential equation to convert it into exact differential equation is known as => A variable or A derivative or A factor or An integrating factor..

From the above two theorem, we infer the following (Anti derivative of the function f(x) at b) - (Anti derivative of the function f(x) at a) (ii) The fundamental theorem of integral calculus shows a close relationship between differentiation and integration..

Acid Chlorides - These are derivatives of carboxylic acids in which hydroxyl (-OH) part of carboxyl group in which hydroxyl (-OH) part of carboxyl group is replaced by halo group. The most reactive compounds among acyl halides are chloro compoun..

Acid amides may be regarded as the derivatives of carboxylic acids in which -OH part of the carboxylic group is replaced by the -NH 2 group. Esters are derivatives of the carboxylic acids in which the -OH part of the carboxylic group has been replaced by -OR ..

Acid amides may be regarded as the derivatives of carboxylic acids in which -OH part of the carboxylic group is replaced by the -NH 2 grou..

Limits- operations on functions Continuity of a function Intermediate value, extreme value theorem Derivatives, differentiability Derivatives of functions Chain rule Rolle's theorem, mean value theorem, and L'Hopital's rule Maxima, minima, inflection points, intervals ..

The degree of a differential equation is the highest power of the highest order derivative after making the equation free from radicals and fractional indices as far as the derivatives are concerned. In other words, the degree of a differential equation whose terms are polynomi..

The plasmids are small, circular DNA molecules present in bacterial cells in addition to the chromosomal DNA. Genes from one organism may be added to the plasmids of a bacterium and transfer them to another. They retain their characters after combining with the DNA of another organisms. Not being ..

With the large growth of carbon compounds, it was necessary to name these compounds in a more systematic way. A committee called the 'International Union for Pure and Applied Chemistry' (IUPAC) put forward a system of giving proper scientific names to carbon based compounds. The names derived..