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Ask experts Expert Question: where is the graph not differentiable?
Reply Forum Index -> Differential Calculus originally posted here on IIT-JEE / AIEEE community   
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[Post New] 27 Mar 2010 18:41:25 IST
   Subject: where is the graph not differentiable?
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swathi (0)

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where is the graph not differentiable?
    
[Post New] 27 Mar 2010 21:50:37 IST
   Subject: where is the graph not differentiable?
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Deepak Aggarwal (3759)

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A function is differentiable at a point if it has a tangent at every point. That is, a function is differentiable at x if the limit

\lim_{a \to 0} {{f(x+a)-f(x)} \over\ a} exists.

It fails to be differentiable if:

  • f(x) is not continuous at a
  • The graph has a sharp corner at a
  • The graph has a vertical tangent line

Note: While all differentiable functions are continuous, all continuous functions may not be differentiable.
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[Post New] 28 Mar 2010 02:19:44 IST
   Subject: where is the graph not differentiable?
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Krishna Gopal Singh (4613)

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Right answer Deepak. Well done
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