Calculate second order derivative

  • Thread starter chapsticks
  • Start date
  • #1
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Calculate f" for f(x)=g(e^(2x)), where g is a function defined for all real numbers & g admits second order derivative.

please check if I did it right.
f = g(e2x)
f' = 2e2x g'
f'' = 4e2xg' + 2e2xg''

I have expanded out

4e2xg'(u) + 2e2xg''(u)
 

Answers and Replies

  • #2
mathman
Science Advisor
7,889
460
Fix your equations. g is ending up in the exponent.
 
  • #3
38
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4e2xg'(u) + 2e2xg''(u)
 
  • #4
120
0
4e2xg'(u) + 4e4xg''(u)

when taking the derivative of the derivative you forget the factor 2e2x
 

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