Module 3 : Differentiation and Mean Value  Theorems
Lecture 8 : Successive differentiation and Leibnitz's theorem  [Section 8.2]
      Thus, when ,
     we set
                      
    Hence the plane is approaching the man with a speed of 500 km/hour.
 



Practice Exercises: Successive differentiation  

1. Let , where and is differentiable and .Show that .

2. Show that for every ,

(i)

(ii)

3. Use Leibnitz theorem to find the third derivative of the functions

(i)

(ii)

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