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anonymous
 4 years ago
Show that the absolute value function f(x) = lxl is not differentiable at x =0
anonymous
 4 years ago
Show that the absolute value function f(x) = lxl is not differentiable at x =0

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precal
 4 years ago
Best ResponseYou've already chosen the best response.1because you can't take the derivative at x=0 because it is a corner

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0lim f( 0+h)  f(o) / h how to show it using this?

precal
 4 years ago
Best ResponseYou've already chosen the best response.1I 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
 4 years ago
Best ResponseYou've already chosen the best response.0so if left hand doesnt equal right hand, that means it is not differentiable?

precal
 4 years ago
Best ResponseYou've already chosen the best response.1if 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
 4 years ago
Best ResponseYou've already chosen the best response.0oh ok i get it now thanks
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