derivative of a function in general

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..

The highest order derivative of the unknown function occuring in the differential equation is the ________ of the differential equation => Power or Order or Degree or Particular solution or General solution..

Let f(x) = k be the given function. Then, we have Therefore derivative of a constant is 0. or..

The structure of the functional groups in acyl halide, acid anhydride, ester and amide are similar to that of the carboxyl group. Due to the presence of lone pairs of electrons at the halogen, oxygen and nitrogen atoms, resonance is possible in these derivatives just like ..

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 a..

Let f be a function of x (y=f(x)). Let a be a point in the domain of f. The RHD of f at a is defined as where h>0, provided the limit exist..

Let f be a function and a be any point in its domain. Let h>0 be a small number. f(x) is said to be differentiable if exists and is denoted by f | (a), then f | (a) is called the derivative or differential coefficient of f(x) at x = a. That ..

An equation that involves one or more derivatives of an unknown function is called a _______ => Linear equation or Trignometric equation or Differential equation or Exponential equation or Quadratic equation..

Definition - The functional group is an atom, or a group of atoms which can replace one or more hydrogen/s in a hydrocarbon. This group when present in organic compounds defines the characteristic physical and chemical properties of that particular family of organic compounds. Thus a ..