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Chapter 5 Continuity and Differentiability Ex 5.4 Solutions

Question - 1 : -

Differentiate the followingw.r.t. x:

Answer - 1 : - Let 

By using the quotient rule, weobtain

Question - 2 : -

Differentiate the followingw.r.t. x:

Answer - 2 : - Let

By using the chain rule, weobtain

Question - 3 : -

Differentiate the followingw.r.t. x:

Answer - 3 : - Let  

By using the chain rule, weobtain

Question - 4 : -

Differentiate the followingw.r.t. x:

Answer - 4 : - Let  

By using the chain rule, weobtain


Question - 5 : -

Differentiate the followingw.r.t. x:

Answer - 5 : - Let 

By using the chain rule, weobtain

Question - 6 : -

Differentiate the followingw.r.t. x:

Answer - 6 : -

Question - 7 : -

Differentiate the followingw.r.t. x:

Answer - 7 : - Let 

Then, 

By differentiating thisrelationship with respect to x, we obtain

Question - 8 : -

Differentiate the followingw.r.t. x:

Answer - 8 : - Let 

By using the chain rule, weobtain

 x > 1

Question - 9 : -

Differentiate the followingw.r.t. x:

Answer - 9 : - Let

By using the quotient rule, weobtain

Question - 10 : -

Differentiate the followingw.r.t. x:

Answer - 10 : - Let

By using the chain rule, weobtain

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