Techniques of Differentiation

 

 

 

Contents

 

Differentiation

  

Sum & Difference Rules

  

Product Rule

  

Quotient Rule

  

Chain Rule

  

Exponential Function

  

Logarithmic Function

  

Trigonometric Function

  

Reciprocal Function

  

Inverse Function

1  2  

Implicit Differentiation

  

Higher Derivatives

  

Quiz

  

Calculus Main Page

Inverse Trigonometric Functions

 
     
In general,
        
            
            
 
 
Examples
Differentiate with respect to x:
       (i)   sin-1 x2
       (ii)  tan-1 ex
       (iii) cos-1 (3cos x)
       (iv) sin-1 (lnx)
 
Solutions:
 
(i) 
   
 
(ii)
     
 
(iii)
   
 
(iv)