# Thread: What will be the approaches to the following functions as Yp

1. ## What will be the approaches to the following functions as Yp

Hello guys I am wondering what the following functions will have as an approach (or what you call it)
would be nice to have their derivatives aswell up to y''

e^x+4x
e^3x + sinx
e^x-e^-x
2sinx - cosx
y''+y = sinx

I have an exam after a few days, a bit worried

2. Originally Posted by Riazy
Hello guys I am wondering what the following functions will have as an approach (or what you call it)
would be nice to have their derivatives aswell up to y''

e^x+4x
Is this what you are after?

$\displaystyle \lim_{x\to \infty}e^x+4x= \infty$

$\displaystyle (e^x+4x)'= e^x+4$

$\displaystyle (e^x+4x)''= e^x$

3. I am not sure, can i use this as an assumption for a Y p?

How can i tackle the rest of them?

e^x+4x
e^3x + sinx
e^x-e^-x
2sinx - cosx
y''+y = sinx

?