| Definition of Derivatives: |  | 
is the 
derivative of 

. The process of taking derivatives is called 
differentiation.    
Similarly, the 
higher derivatives of 

 can be defined by  
When there is more than one variable in a function, the derivative of the function should be specified 
with respect to a particular variable. For example,
is the 
partial derivative of 
 with respect to
 with respect to 
 while keeping 

 and 

 constant.     
In contrast to the 
partial derivative, the 
differential of 

 is defined by  
Leibniz's Formula for Derivatives:  
     | L'Hôspital's Rule: L'Hôspital's Rule is used to determine the indeterminates such as  . If both  and  are differentiable in the domain except possibly at  , then |  | 
The process can be repeated until the equivalent limit is found.  
Integration by Parts: Integration by parts is one of the most commonly used integration formulas.  
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