Question

Derivative of ln(e^(x^3) + x^3)

am i correct in thinking that the ln and the e cancel leaving me with x^3 + x^3? if that is true then it is easy to find the derivative.

Answer 1

e does not cancel
you need to apply the chain rule

Answer 2

im getting stuck with how to do this problem because of the double powers. Can anyone give me a tip?

Answer 3

http://en.wikipedia.org/wiki/Chain_rule

and the derivative of lnx = 1/x

Answer 4

suppose u=e^(x^3) + x^3

Answer 5

Did i do this correctly?

1/(e^(x^3) + x^3) * (e^(x^3) + 3x^2) * 3x^2

Answer 6

y' = ( 3x² e^x³ + 3x² ) / ( e^x³ + x³ )