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anonymous
 one year ago
Is f(x)=(x^29x+14)/(x7) 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
anonymous
 one year ago
Is f(x)=(x^29x+14)/(x7) 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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zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0The letters go all the way from A, to V? 0_o

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ask yourself whether 7 is even part of the domain of the function. Does your function have a nonvertical tangent line at \((7,f(7))\)?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Differentiability implies Continuity

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0v is suppose to be "b"

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Like if the point theyre looking for lies on the domain of \(f(x)\) then theres going to be a slope at that point

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm leaning towards b

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0hmm me too :) let's see what lady bean has to say about it though

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You cant differentiate a function that has any sharp turns, breaks, etc that will make your function "non smooth"

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah, i agree b is the right choice.
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