I'll show you how to do. After that, it'd be nice if you tried to do some others
To see how to make these, go to the Latex help section, or click on the images I'll write
The aim is to differentiate the whole equation with respect to x, noting that y is a function of x. This latter remark means that you will have to use the chain rule every time y appears.
For more convenience, let
So after differentiating one time, we have :
Isolate y' :
Get back to and do it the same way.
, by using the product rule.
So we have
Now substitute with the boxed equation :
Now, use the very first equation . From this one, we get
Substitute that in the latter expression for y'' and you'll find the result^^