Derivative of y=e^(x²-x)

1. Let $u = x^{2} - x$.

2. The derivative of $e^{u}$ is itself.

3. Then, apply the chain rule. Multiply by $\frac{d}{d x} \left(x^{2} - x\right)$:

   1. Differentiate $x^{2} - x$ term by term:

      1. Apply the power rule: $x^{2}$ goes to $2 x$

      2. The derivative of a constant times a function is the constant times the derivative of the function.

         1. Apply the power rule: $x$ goes to $1$

         So, the result is: $-1$

      The result is: $2 x - 1$

   The result of the chain rule is:

   $$\left(2 x - 1\right) e^{x^{2} - x}$$

4. Now simplify:

   $$\left(2 x - 1\right) e^{x \left(x - 1\right)}$$

The answer is: