anonymous
  • anonymous
Show that the absolute value function f(x) = lxl is not differentiable at x =0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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precal
  • precal
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precal
  • precal
because you can't take the derivative at x=0 because it is a corner
anonymous
  • anonymous
lim f( 0+h) - f(o) / h how to show it using this?

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precal
  • precal
I think you need to use a not h and don't forget (as x approaches 0) notation Show that the right hand limit does not equal the left hand limit
anonymous
  • anonymous
so if left hand doesnt equal right hand, that means it is not differentiable?
precal
  • precal
if the left hand limit does not equal the right hand limit, the limit does not exist. show that the derivative of the left hand limit does not equal the derivative of the right hand limit, the derivative does not exist. If the derivative does not exist then it is not differentiable use a piecewise function to describe the absolute value function
anonymous
  • anonymous
oh ok i get it now thanks

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