`y = sqrt(1 + 2e^(3x))` Find the derivative of the function.

Expert Answers
gsenviro eNotes educator| Certified Educator

`y' = d/dx(1+2e^3x)^(1/2) = (1/2)*(1+2e^3x)^(1-1/2)*d/dx(1+2e^3x)`

`= (1/2)(1+2e^3x)^(-1/2)*(2e^3)`

`=e^3/sqrt[1+2e^3x]`

hope this helps.

nick-teal eNotes educator| Certified Educator

`y' = 1/(2sqrt(1 + 2e^(3x))) * (d/(dx))(1 + 2e^(3x))`

`y' = 1/(2sqrt(1 + 2e^(3x))) (3*2e^(3x))`

`y' = 3e^(3x)/sqrt(1 +2e^(3x))`