Derivative using complex exponential

  • Thread starter forty
  • Start date
135
0
I'm trying find the 15th derivative of exp[(1 + i(3^.5))theta] with respect to theta

To do this do i need to split it into two exponentials, (e^theta).(e^i(3^.5)theta) ??
 

HallsofIvy

Science Advisor
41,617
821
What is the derivative of eax with respect to x? What is its second derivative? What is its 15th derivative? Do you see my point?
 
135
0
[(1+i(3^.5))^15].e^[(1+i(3^.5))theta]

So i can just apply the normal rules for exponentials ??
 

HallsofIvy

Science Advisor
41,617
821
Yes, 1+i(3^.5) is "just a number". You might want to use De Moivre's formula to caculate [itex](1+ i\sqrt{3})^{15}[/itex] itself.
 

Want to reply to this thread?

"Derivative using complex exponential" You must log in or register to reply here.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Top Threads

Top