1) f'(x) = (x^4)'(x+8) + x^4(x+8)' = 4x^3(x+8) + x^41 = 4x^4 + 32x^3 + x^4 = 5x^4 + 32x^3
2) f'(x) = (x^2)'e^x + x^2(e^x)' = 2xe^x + x^2e^x = e^x(2x + x^2)
1) f'(x) = (x^4)'(x+8) + x^4(x+8)' = 4x^3(x+8) + x^41 = 4x^4 + 32x^3 + x^4 = 5x^4 + 32x^3
2) f'(x) = (x^2)'e^x + x^2(e^x)' = 2xe^x + x^2e^x = e^x(2x + x^2)