derivative using chain rule


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Food Chains
food chain system in the environment Food Chains - 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 ..
Derivative of a Function of a Function
The differentiation of function of a function is known as 'chain rule'. The chain rule is probably the most widely used differentiation rule in mathematics. If y is a differentiable function of u and u is a differentiable funct..
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..
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 how do we differentiate a function of a function? Th..
Working Rules to find derivatives
Derivability implies continuity Derivative of a constant function is zero. ..
Larger number of side-chains rule
If two different chains of equal lengths (equal number of C atoms) are possible, then select the chain which has larger number of side-chains i.e., select the more-branched chain. For example, in the following molecule, there could be two continuous cha..
Significance of food chains
The study of food chains helps in understanding food relationship and interdependence among various organisms in an ecosystem. The mechanism of transfer of food, energy and nutrients through various components of nature can also be studied The effect of the use of pestic..
Branched Chain Alkyl Groups
When a hydrogen atom from any carbon other than the terminal carbon of a carbon chain is removed, branched chain alkyl groups are obtained. Thus the removal of hydrogen atom from a secondary or tertiary carbon atom in any carbon chain results in a branched chain..
Electron transport chain (ETC
illustration of electron transport chain ) It takes place in the mitochondrial membranes. During this step, the hydrogen ions (or a pair of electrons) are transported from one carrier to another and they are finally used to reduce oxygen to water. During this transfer of electrons, lot of energy is released which is in the for..
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