chain rule and quotient rule

Longest chain consisting of six carbon atoms..

The Quotient Rule for Differentiation is:..

In this section, we derive the formulaIn this section, we derive the formula and use it to differentiate quotients of function..

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, ..

(1) Let be rational function. If is improper, divide P(x) by Q(x). Let T(x) be the quotient and P 1 (x) be the remainder, then Where T(x) is a polynomial and is a proper rational function. (2) Resolve the proper rational function in to partial fractions. (3) Write as sum of partial fracti..

Find the rule. => subtract 1 or add 2 or subtract 2 or add 1..

Find the rule. => subtract 5 or add 3 or add 5 or subtract 4..

Identify the rule. => subtract 2 or add 8 or subtract 8 or add 3..

Identify the rule. => subtract 7 or add 7 or subtract 6 or add 6..