derivative


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Left Hand Derivative
as x approaches a through values less than 'a' is called Left hand derivative at x=a denoted by Lf '(a)...
Derivative of Inverse Trignometric Functions
The Derivative of Inverse Trignometric Functions includes: 1. sin - 1 x, 2. cos - 1 x, 3. tan - 1 x, 4. cot - 1 x, 5. sec - 1 x, 6. cosec - 1 ..
Derivability or Differentiability at a Point
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 ..
Derivative of Implicit Functions
Derivative of Implicit Functions - Till now, the functions that we have discussed, are explicitly functions of x. We have defined y in terms of x. Suppose we have an equation f(x,y) = 0, which cannot be put in the form of y=f(x) to differentiate in the usual way, we can still differentiat..
e) Addition of ammonia and its derivatives
formation of ketimine Nitrogen nucleophiles such as ammonia and its derivatives H 2 N - Z add to carbonyl group of aldehydes and ketones. The reaction is reversible and catalyszed by acid. The equilibrium favors the product formation due to rapid dehydration of the tetrahedral addition product. The net result..
Working Rules to find derivatives
Derivability implies continuity Derivative of a constant function is zero. ..
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..
Deriving the chemical formula from valency
The chemical formula of a compound represents the composition of the molecule of the compound in terms of symbols of the elements present in ..
Polyhalogen Derivatives - Carbon tetrachloride
Many polyhalogenated hydrocarbons find important use as industrial solvents, pesticides, refrigerants, medicines, inert lining of cooking utensils, et..
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