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anonymous

  • one year ago

Is f(x)=(x^2-9x+14)/(x-7) differentiable at x=7? stuck between these two choices: a. No, b/c f'(x)=0 at x=7 v. No, b/c f(x) is not continuous at x=7

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  1. zepdrix
    • one year ago
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    The letters go all the way from A, to V? 0_o

  2. Jhannybean
    • one year ago
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    Ask yourself whether 7 is even part of the domain of the function. Does your function have a non-vertical tangent line at \((7,f(7))\)?

  3. zepdrix
    • one year ago
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    Differentiability implies Continuity

  4. anonymous
    • one year ago
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    v is suppose to be "b"

  5. Jhannybean
    • one year ago
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    Like if the point theyre looking for lies on the domain of \(f(x)\) then theres going to be a slope at that point

  6. anonymous
    • one year ago
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    I'm leaning towards b

  7. zepdrix
    • one year ago
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    hmm me too :) let's see what lady bean has to say about it though

  8. Jhannybean
    • one year ago
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    You cant differentiate a function that has any sharp turns, breaks, etc that will make your function "non smooth"

  9. Jhannybean
    • one year ago
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    Yeah, i agree b is the right choice.

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