Logarithmic Differentiation :-
In order to differentiate a function of the form v power on u , where u, v are both variables , it is necessary to take its logarithm and then differentiate . This process which is known as Logarithmic Differentiation is also useful when the function to be differentiated is the product of a number of factors .
Preliminary Transformation :-
In some cases , a preliminary transformation of the function to be differentiated facilitates the process differentiation a good deal .
Differentiation "ab into" :-
To differentiate "ab into" or from first principles means that the process of differentiation is to be performed without making any use of the theorems on the differentiations of sums , products functions and functions etc. nor is any use to be made of the differential co-officiants of standard forms .
The n th derivative of the product of the powers of sines and cosines :-
In order to find out n th derivative of such a product , we have to express it as the some of the sines and cosines of multiples of the independent variables .