Correct.

Correct.2. u= (2x+1)5^x

My answer: 5^xIn5(2x+1) + (2)5^x

Correct, only the final term must be .3. g(s)= s^(5/3) - 2se^s

My answer: 5s^(2/3)/3 - 2e^s + 2se^s

Remember that .4. y= 1/(x^3 + 3x + 1)

My answer: 3x^2+3/(x^3 + 3x +1)^2

Correct.5. y= 4/(e^t + 1)

My answer: -4e^t/(e^t + 1)^2

I derived:6. w= x/(x^2 + 2)

My answer: -x^3 + 2x^2 -2x/ (x^2 + 2)^2