Question

Find the derivative of the function (3x+1/x-1)^3.

Answer 1

3(3x+1/x^1-1)^2.(3-1/x^2)

Answer 2

we have both chain rule and quotient rule.

3 ((3x + 1)/(x - 1))^2 * (quotient rule of the inside the parenthesis)

Quotient rule: ((x - 1)*3) - (3x + 1)*1) / (x - 1)^2

Final answer: 3((3x + 1)/(x - 1))^2 * ((x - 1)*3) - (3x + 1)*1) / (x - 1))^2

Answer 3

thanks!