Module 3 : Differentiation and Mean Value  Theorems
Lecture 8 : Chain Rule  [Section 8.1]
 
  
 8.1.13
Example :
 

Consider
          

Assuming that the conditions for the implicit differentiation are satisfied, we get

          

Thus, , which gives
          

This allows us to compute the derivative at any point which satisfies the relation . For example at .

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