Let $\displaystyle {f{{\left({x}\right)}}}={\frac{{{x}^{{{6}}}{\left({x}-{9}\right)}^{{{9}}}}}{{{\left({x}^{{2}}+{9}\right)}^{{{4}}}}}}$

Use logarithmic differentiation to determine the derivative.

$\displaystyle {f}'{\left({x}\right)}=$ Preview Question 6 Part 1 of 2  

$\displaystyle {f}'{\left({9}\right)}=$ Preview Question 6 Part 2 of 2