Differentiation


   
 
Logarithmic Differentiation
When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation.
 
Let y = f(x) g(x)
 
Taking log on both sides, we have logy = g(x) logf(x).
 
Differentiating with respect to x, we get,
 
 
 
Example:
 
Differentiate the function y = (sin x)cos x.
 
Suggested answer:
 
y = (sin x)cos x
 
Taking log on both sides, we have log y = cos x (log sin x)
 
Differentiating both sides with respect to x, we have
 
 
 
 
 
 
     
   
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