Question

calc help, arctan(x/2) - ((1)/(2(x^(2)+4))
if possible help by steps.

Answer 1

What to do?

Answer 2

derivative

Answer 3

Ok.
\[\arctan \frac x 2-\frac{1}{2(x^2+4)}\]Right?

Answer 4

correct

Answer 5

What is the main problem for you?

Answer 6

first i seperated the two problems into \[(1/2)/(1+(x ^{2}/2^{2})\]

Answer 7

um the derivate for the second part and also if the steps to find the derivative for arc tan was right.

Answer 8

Can you tell me the derivative of \(\frac1{2(x^2+4)}\)?

Answer 9

i would use the quotient rule for that correct?

Answer 10

i got -2/3x ( x^(2)+4)^(-2)

Answer 11

-x not -2/3x

Answer 12

\(\left(\frac1{2(x^2+4)} \right)'=\frac 12\left((x^2+4)^{-1}\right)'=\frac 12\cdot(-1)\cdot(x^2+4)^{-2}\cdot2x=-\frac{x}{(x^2+4)^2}\)

Answer 13

correct

Answer 14

and for arctangent please type too

Answer 15

arc tan(x/2) = (1/2)/(1+(x^(2)/4)

Answer 16

thats right. so can you copy and paste the whole answer?

Answer 17

arctan(x/2) = (1/2)/(1+(x^(2)/4) - x( x^(2)+4)^(-2)

Answer 18

(1/2)/(1+(x^(2)/4) + x( x^(2)+4)^(-2)

Answer 19

Yeah! Very good. Cant understand why do you ask help, if you can make it by yourself.

Answer 20

i just wanna make sure im doing it right. like my numbers can be off a little at times

Answer 21

Yes. You are absolutely right. Practice with this and your mistakes will vanish.

Answer 22

alright thanks, quick question though to simplify the arc tan all i would need to do is multiply the 1 by the 4 and bring that 4 and also multiply it by the 1/2?

Answer 23

Hm. My English is not perfect. Can you type this, that it can be easy for me to understand?

Answer 24

(1/2)/(1+(x^(2)/4) this can be turned into 2/(4+X^(2))?

Answer 25

Yes.

Answer 26

thanks