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Derivatives of some Standard Functions

  1. Derivative of where is a rational number. 
Solution:
Let us find


Example: 1
Find the derivative of (a) (b) (c)

Solution:

  1. Derivatives of Trigonometric (circular) functions:
Solution:
(i) Let
           
               
      
(ii)

              

                
(iv)

      
Using formula,

                   





              






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