A student of mine has handed me a test paper that was given to him at school. It seems to me there is a mistake on it, but I want to make absolutely sure. Here is the question:

Express $\displaystyle \frac{x^{2}-6x+1}{(x^2+1)(x^2-1)}$ in Partial Fractions

Hence show that $\displaystyle \frac{\mathrm{d} }{\mathrm{d} x}\left \{\frac{x^{2}-6x+1}{(x^2+1)(x^2-1)} \right \}$ when $\displaystyle x=2$ is $\displaystyle \frac{28}{45}$

I get $\displaystyle \frac{194}{225}$