Question

$$f ( x ) = \frac { 2 - x } { x - 1 } + \sqrt { 9 - x ^ { 2 } }$$

Evaluate

$\frac{x\sqrt{9-x^{2}}-\sqrt{9-x^{2}}-x+2}{x-1}$

Differentiate w.r.t. x

$\frac{-x^{3}+2x^{2}-\sqrt{9-x^{2}}-x}{\sqrt{9-x^{2}}\left(x-1\right)^{2}}$