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  • Help me answer: - Limit , continuity and differentiability - JEE Main-10

Number of points of non diffrentiability of f(x)=2^{x}

  • Option 1)

    4

  • Option 2)

    2

  • Option 3)

    1

  • Option 4)

    0

 

Answers (1)

best_answer

As we have learned 

Properties of differentiable functions -

The exponential function  ax  a > 0  differentiable at each  x\epsilon R

-

 

\because f(x) = 2^{x}   is an exponential function and exponential function are diffrentiable for all x\epsilonR

so number of points , where f(x) is non diffrentiable is zero  

 

 

 

 

 

 


Option 1)

4

Option 2)

2

Option 3)

1

Option 4)

0

Posted by

Himanshu

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