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1) Using properties of logarithms, the derivative of ln(6xy) with respect to x is (1/6xy)*(6y) = y/(xy). 2) The antiderivative of (1/x^4 - 1/x^4 - 10) dx is -1/3x^3 - 10x. 3) Taking the derivative of y = 3xln(x^6 + 8) with respect to x gives dy/dx = 3ln(x^6 + 8) + (18x^5)/(x^6 + 8).

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llllo

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