given is
so I would like to derivate this
thus we can split it in 3 part
First wil be
the second and third one will be
finelay we get
Who can I simplify this? Greets Thanks a lot.
Hello, Bert!
An error in your derivative (probably a typo)
. . Otherwise, excellent work!
Differentiate: .
You should get: .
With three (four!) different denominators, there's not much chance of simplifying.
The first term can be simplified a bit:
. . . . . but that's all . . .
Hello again, Bert!
but the answer in my book say
What is the problem ?
Simple . . . the book is wrong!
I'm puzzled . . . you got the same wrong answer.
. . Did you just copy the book's answer and trust it to be correct?
Are you aware that the derivative of is: .
There's no way to get in the denominator
. . and you should know that.
Hello, Bert!
Sheesh! . . . That explains our different answers . . .
The function is: .
Your notation was incorrect and misleading . . .
We know that: . means
. . but and should be written **
The symbols .
. . are used to signify the inverse tangent of
That is, does not mean
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
**
I don't understand why you replaced with its reciprocal.
. . There is a formula: .
Hello again, Bert!
I got it! . . .
They did more simplifying than I thought humanly possible!
We have: .
Then: .
I've already shown that the first fraction can be simplfied.
. . So we have: .
The second fraction is: .
. . .
The third term is: .
. . So we have: .
Therefore: . . . . ta-DAA!