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  • I have a doubt, kindly clarify. - Limit , continuity and differentiability - JEE Main-7

  f(x)= log x  is diffrentialble \forall x\epsilon 

  • Option 1)

    (1,5)

  • Option 2)

    (0,\infty)

  • Option 3)

    (-2,\infty)

  • Option 4)

    [0,\infty)

 

Answers (1)

best_answer

As we have learned

Properties of differentiable functions -

The logarithmic function is differentiable at each point in its domain.

-

 

 \because Logarithmic function are diffrenetiable for all x in the domain, and f(x) = log x has domain (0,\infty)

\therefore it will be diffrentiable in (0,\infty)

 

 

 

 

 

 


Option 1)

(1,5)

Option 2)

(0,\infty)

Option 3)

(-2,\infty)

Option 4)

[0,\infty)

Posted by

Himanshu

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