Derivative of a function, Is my answer correct?

  • #1

Homework Statement


y=e^9Θsin(8Θ)


Homework Equations





The Attempt at a Solution


dy/dΘ=e^9Θ(sin(8Θ)+8cos(8Θ))
 

Answers and Replies

  • #2
867
0
[Edit] I didn't catch the missing 9; sorry about that.
 
Last edited:
  • #3
lanedance
Homework Helper
3,304
2
is that (using t for theta)

y=e^(9t.sin(8t)) or y=(e^(9t)).sin(8t)?
 
  • #4
Ugh, it said incorrect...
 
  • #5
lanedance
Homework Helper
3,304
2
if it is
y=(e^(9t)).sin(8t)

i think you should get an extra factor of 9
y'=(e^(9t)).(9sin(8t)+ 8cos(8t))
 
  • #6
Pengwuino
Gold Member
4,989
15
Lanedance is right, you get that factor of 9 when taking the exponential derivative.
 

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