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for what value(s) of k will f(x)=x^3kx^2+kx+k have an inflection point at x=5?
 one year ago
 one year ago
for what value(s) of k will f(x)=x^3kx^2+kx+k have an inflection point at x=5?
 one year ago
 one year ago

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SomeBlokeBest ResponseYou've already chosen the best response.2
You're still not saying what actual difficulties you're having. Do you know how to find inflection points?
 one year ago

JulioMarcoBest ResponseYou've already chosen the best response.0
If you wish to find inflection points, just take the structural form of the derivative (its formula) and find the places where it equals zero. An inflection point will be a point with zero derivative and with derivatives of different signs before and after it.
 one year ago

SomeBlokeBest ResponseYou've already chosen the best response.2
No, JulioMarco, those aren't inflection points. Those are maxima and minima you're describing. At an inflection point, it's the second derivative that's zero, since a function's inflection points are at maxima and minima of its first derivative. An inflection point of f(x) at x will be a maximum or minimum of f'(x) at x, and so f''(x)=0 at x.
 one year ago

asimo3Best ResponseYou've already chosen the best response.0
SomeBloke is right, its when d^2(f(x))/d(x^2)=0, inflections points are found by taking the 2nd derivative and setting them to 0.
 one year ago

JulioMarcoBest ResponseYou've already chosen the best response.0
SomeBloke and Asimo, you are completely right... I wrote it in the wrong way, thank you! :)
 one year ago
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