Brian M.

asked • 10/19/21

Is there a function that meets the following conditions?

dy/dx is increasing for the range 20 - 120 (and possibly beyond though not necessarily)

Point of inflection at x=70 for ddy/ddx, goes from negative to positive.


f(x)=.015 when x=20;f(x)=.35 when x=120

Brian M.

Also would be interested in the function that has same inflection point, but goes from positive to negative. Not sure if I need to ask separate question.
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10/19/21

Vitaliy V.

tutor
There is a contradiction in the description of the problem. If dy/dx is increasing for the range 20 - 120, then ddy/ddx >= 0 for this range and cannot go from negative to positive. Could it mean that f(x) is increasing? Please, confirm. If so, I could provide examples for both questions.
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10/20/21

Brian M.

I was trying to convey that the function is (nearly) constantly increasing, but at first the rate of increase decreases, but then at x=70 it starts to increase.
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10/20/21

1 Expert Answer

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Vitaliy V. answered • 10/21/21

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Brian M.

Fantastic! Thank you so much! Very well explained!
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10/22/21

Vitaliy V.

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My pleasure.
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10/22/21

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