derivative chain rule


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Longest chain rule
The longest continuous carbon chain containing the multiple (double or triple) bonds is selected. It is to be remembered that the parent chain must contain double or triple bond even if it is not the longest chain in the formula. For example, On the bas..
Working Rules to find derivatives
Derivability implies continuity Derivative of a constant function is zero. ..
Food Chains
food chain system in the environment A food chain is a series of steps by which energy is obtained, used, and transformed by living things. For example; sunlight helps plants to grow, the plants are eaten by cattle, and lions eat the cattle. All living organisms of the biosphere are related to each other by a common fac..
Derivative of a Function of a Function
Derivative of a Function of a Function - So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we differentiate a function of a function? That is how can we differentiate sin (x 3 - 5)?So far, we know how to differentiate functions like sin x and x 3 - 5. But h..
Working Rule for Finding Extremum Values Using First Derivative Test
Let f (x) be the real valued differentiable functio..
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..
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..
Lowest number rule
lowest number rule illustration When only one side chain is present: The carbon atoms in the selected parent chain are numbered as 1, 2, 3... from one end to the other. The numbering is done in such a way that the carbon atom carrying the side-chain is given the lowest possible number. For example, ..
Lowest number rule
The carbon atoms of the parent chain are numbered as 1, 2, 3..., so as to assign the lowest number to the carbon atom where the multiple bond (double or triple) begins. The position of the multiple bond is indicated by adding the serial number of the first carbon of the multiple bond bef..
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