Question

What is the derivative of `y=x/(x^3-1)`?

Answer 1

The derivative is `dy/dx=(-2x^3-1)/(x^3-1)^2`

Explanation:

Use the Quotient Rule to find the answer:

`d/dx(x/(x^3-1))=((x^3-1) * 1-x * 3x^2)/((x^3-1)^2)=(-2x^3-1)/(x^3-1)^2`