Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

Calculus problem?

Suppose f(x) = 3x4. Does f have an inflection point for x in the interval (0,1)? If so, enter its x coordinate

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  • 1 decade ago
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    To find the POI, you have to set the seconds derivative equal to 0.

    f(x) = 3x^4

    f'(x) = 12x^3

    f'(x) = 36x^2

    36x^2 = 0

    x=0

    sub in values from both sides in the second derivative equation

    f''(-1) = +

    f''(1) = +

    Really because the x value is squared, it can't be anything but positive. Because it is positive on both sides of the value found, there is no POI.

  • Anonymous
    1 decade ago

    is that 3x^4?

    f'=12x^3

    f"=36x^2

    x=0

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