# What is the derivative of y = (e^(9x^5)*(1x^3+7)^24)/(3x^2+12x-17)^5?

$y ' = \frac{\left({e}^{9 {x}^{5}} \cdot 45 {x}^{4} \cdot {\left({x}^{3} + 7\right)}^{24} + {e}^{9 {x}^{5}} \cdot 24 {\left({x}^{3} + 7\right)}^{23} \cdot 3 {x}^{2}\right) \cdot {\left(3 {x}^{2} + 12 x - 17\right)}^{5} - {e}^{9 {x}^{5}} {\left({x}^{3} + 7\right)}^{24} \cdot 5 \cdot {\left(3 {x}^{2} + 12 x - 17\right)}^{4} \cdot \left(6 x + 12\right)}{3 {x}^{2} + 12 x - 17} ^ 10 =$