Calc

3x^2 and 3x^3 are both increasing and positive for x>0. How many times greater is the rate of increase of 3x^3 than the rate of increase of 3x^2 at x=4?

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  1. y1 = 3x^2 and y2 = 3x^3

    at x=4
    dy1/dx = 6x or 24
    dy2/dx = 9x^2 = 144

    so how many times greater ?

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  2. 144/24 = 6

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