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anonymous

  • 4 years ago

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

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  1. JamesJ
    • 4 years ago
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    ...if f'(2) exists. What's the function f(x)?

  2. amistre64
    • 4 years ago
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    if the limif of f(2) from the right and left match; then we gots diffability

  3. JamesJ
    • 4 years ago
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    No, that's not right.

  4. amistre64
    • 4 years ago
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    really? i must eaither be reading the ? wrong, or remembering this wrong :)

  5. amistre64
    • 4 years ago
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    f(x) = |x| is cont, but not diff at x=0 ...

  6. JamesJ
    • 4 years ago
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    A real valued function \( f \) is differentiable at \( x = a \) if the limit \[ \lim_{x \rightarrow a} \frac{f(x)-f(a)}{x-a} \] exists. Or equivalently, if the limit \[ \lim_{h \rightarrow 0} \frac{f(a+h) - f(a)}{h} \] exists.

  7. amistre64
    • 4 years ago
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    the 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

  8. amistre64
    • 4 years ago
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    maybe thats what im remebering :)

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