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finding derivatives

Calculus
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Show that f(x)=lx-3l+5 is not differentiable at x=3. is f differentiable everywhere else?

Apr 6th, 2015

since the at x = 3 limit [f(x+h)-f(x)]/h = (|h|+5-5)/h = |h|/h = -1 when h<0 and = 1 when h >1, so it is not differentiable at x=3.  Yes it is differetable every where else, and f'=-1 x<3 f'=1 x>3. 

Apr 6th, 2015

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Apr 6th, 2015
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Apr 6th, 2015
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