- #1
ruby_duby
- 46
- 0
Homework Statement
Assuming that (ex)’ = (ex) at all point x, prove that ec
= sinh(1) for some point C [tex]\in[/tex] (-1,1). Give the full proof.
Homework Equations
The Attempt at a Solution
I honestly don't know how to attempt this. i can show that (ex)’ = (ex) by:
(ex) = 1 + x + x2[tex]/2![/tex] + x3[tex]/3![/tex] + x4! + x5[tex]/5![/tex] +...
(ex)’ = 1 + x + x2[tex]/2![/tex] + x3[tex]/3![/tex] + x4! + x5[tex]/5![/tex] +...
I just don't know how to tackle the sinh part of the equation.
I would really appreciate any help/ guidance