Natural Logs #2

[thelazyman]

Hi can someone please help me with this problem?


if y= 5/2(e^x/5 + e^-X/5), then prove that y''= y/25


Thanks

 

[pka]

Come on 'lazy' show us some work.
You can do this one yourself!
Just look at the other one before this one.

 

[thelazyman]

I dont understand thats why I asked a question.

 

[Unco]

Can you find y'' (the second derivative) ?

 

[tkhunny]

y= 5/2(e^x/5 + e^-X/5)

Is that:

\(\displaystyle e^{\frac{x}{5}}\)

or

\(\displaystyle \frac{e^{x}}{5}\)?

Either way, the derivative is not difficult. Let's see what you get.