anonymous
  • anonymous
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
Calculus1
katieb
  • katieb
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zepdrix
  • zepdrix
The letters go all the way from A, to V? 0_o
Jhannybean
  • Jhannybean
Ask yourself whether 7 is even part of the domain of the function. Does your function have a non-vertical tangent line at \((7,f(7))\)?
zepdrix
  • zepdrix
Differentiability implies Continuity

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anonymous
  • anonymous
v is suppose to be "b"
Jhannybean
  • Jhannybean
Like if the point theyre looking for lies on the domain of \(f(x)\) then theres going to be a slope at that point
anonymous
  • anonymous
I'm leaning towards b
zepdrix
  • zepdrix
hmm me too :) let's see what lady bean has to say about it though
Jhannybean
  • Jhannybean
You cant differentiate a function that has any sharp turns, breaks, etc that will make your function "non smooth"
Jhannybean
  • Jhannybean
Yeah, i agree b is the right choice.

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