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anonymous
 4 years ago
deter if f is differentiable at x=2, i.e., determine if f(2)exist
anonymous
 4 years ago
deter if f is differentiable at x=2, i.e., determine if f(2)exist

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JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2...if f'(2) exists. What's the function f(x)?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0if the limif of f(2) from the right and left match; then we gots diffability

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0really? i must eaither be reading the ? wrong, or remembering this wrong :)

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0f(x) = x is cont, but not diff at x=0 ...

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2A real valued function \( f \) is differentiable at \( x = a \) if the limit \[ \lim_{x \rightarrow a} \frac{f(x)f(a)}{xa} \] exists. Or equivalently, if the limit \[ \lim_{h \rightarrow 0} \frac{f(a+h)  f(a)}{h} \] exists.

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0the derivative of f(x)=x from the left is 1, and from the right is +1; so at zero the derivative is both 1 and +1 which is inconsistent ... hmmmm

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0maybe thats what im remebering :)
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