Calculus Logarithms - Needs redone. Answered incorrectly

Question

differentiate y = (x²+1)e^{((-x^10)+3x)}

Answer 1

y = (x² + 1) exp(-x¹⁰ + 3x)

 

dy/dx = 2x exp(-x¹⁰ + 3x) + (x² + 1) exp(-x¹⁰ + 3x) (-10x⁹ + 3)

 

= [2x + (x² + 9)(3 - 10x⁹)] exp(-x¹⁰ + 3x)

 

= [27 + 2x + 3x² - 90x⁹ - 10x¹¹] exp(-x¹⁰ + 3x)