calculus

Differentiate 3x+2(37,500,000/x) I know the answer is suppose to be 3(x^2-25,000,000)/x^2 but I'm not sure how to get there.

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  1. Got it thanks anyways... I for some reason wasn't putting 3 over x^2 to simplify. mistake.

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  2. d ( 1 / x ^ n ) / dx = - n * x ^ ( - n - 1 )

    d ( 1 / x ) / dx = d ( 1 / x ^ 1 ) / dx = - 1 * x ^ ( - 1 - 1 ) = - 1 * x ^ - 2 = - 1 / x ^ 2

    d ( 3x ) / dx = 3

    d [ 3 x + 2 ( 37,500,000 / x ) ] / dx =

    3 + 2 * 37,500,000 * ( - 1 ) / x ^ 2 =

    3 - 75,000,000 / x ^ 2

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