**Logarithmic Differentiation :-**

In order to differentiate a function of the form

*, 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 .*

**v power on u****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

*derivative of such a product , we have to express it as the some of the sines and cosines of multiples of the independent variables .*

**n th**
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