Chapter 2 - Differentiation - Review Exercises - Page 158: 64

$h'(x) = 2(\frac{(x+5)}{(x^{2}+3)})(\frac{-x^{2} -10x + 3}{(x^{2} + 3)^{2}})$

$h(x) = (\frac{(x+5)}{(x^{2}+3)})^{2}$ $h'(x) = 2(\frac{(x+5)}{(x^{2}+3)})(\frac{[1(x^{2} + 3)] - [(2x)(x+5)]}{(x^{2} + 3)^{2}})$ $h'(x) = 2(\frac{(x+5)}{(x^{2}+3)})(\frac{x^{2} + 3 - 2x^{2} -10x}{(x^{2} + 3)^{2}})$ $h'(x) = 2(\frac{(x+5)}{(x^{2}+3)})(\frac{-x^{2} -10x + 3}{(x^{2} + 3)^{2}})$