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Periodic Functions
The trigonometric functions belong to a large class of functions called periodic functions in which there is a regular repetition of the values of the function over a certain interva..
Trigonometric functions
Trigonometric functions are sinx, cosx, tanx, etc. The graph of these functions have been done in class X..
Objective Function
The Objective Function is a linear function of variables which is to be optimised i.e., maximised or minimised. e.g., profit function, cost function etc. The objective function may be expressed as a linear expressio..
Derivative of a Function
So far we have discussed the derivative of a function f(x) at a point 'a' which is in the domain of f. Suppose we want to find the derivative of the same function at a different point 'b', then we have to compute the derivative by repeating the same process. To avoid this repeti..
Functional Elements
The elements, which take part in the metabolic activities of plants, whether essential or non-essential are named as functional elemen..
Functional isomerism
Alkenes and cycloalkanes have the same molecular formula (C n H 2 n ). Since cycloalkanes do not behave as unsaturated hydrocarbons, alkenes and cycloalkanes are termed functional isomers. For instance, propene is isomeric with cyclopropane (or trimethylene). CH 3 -CH=CH 2 propene..
Alkenes and cycloalkanes have the same molecular formula (C n H 2 n ). Since cycloalkanes do not behave as unsaturated hydrocarbons, alkenes and cycloalkanes are termed functional isomers. For instance, propene is isomeric with cyclopropane (or trimethylene). CH 3 -CH=CH 2 propene..Inverse functions
Inverse functions are sin - 1 x, cos - 1 x, tan - 1 x etc. The graph of these functions have been done in class X..
Functional isomerism
Alkynes are isomeric with alkadienes both being represented by the general formula C n H 2 n - 2 . So there can be a difference in the nature of the bond (triple to double) giving different functional properties. For example,..
A relation becomes a function only if _______.
A relation becomes a function only if _______. => for two inputs there is exactly one output or for every input, there are fixed number of outputs or for every input there are two outputs or for every input there is exactly one output..
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