Wednesday

July 23, 2014

July 23, 2014

Posted by **Sarah** on Monday, September 30, 2013 at 10:37pm.

So, I took the derivative of

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

I used the quotient rule

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

Then I simplified it

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

Then I simplified by factoring out some numbers

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

Then I cancelled out some values

2x[x^2+1-2(1-x^2)]/((1+x^2)^3)

Then simplified some more

2x[x^2+1-2+2x^2)]/((1+x^2)^3)

2x[x^2+1-2+2x^2)]/((1+x^2)^3)

My answer was

2x(3x^2-1)/((1+x^2)^3)

But my answer is supposed to be

2x(x^2-3)/((1+x^2)^3)

Where did I go wrong

- check my work on derivatives -
**Steve**, Monday, September 30, 2013 at 11:29pmWell, the first line is wrong. Should be

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

Maybe that's all the fix you need. If not, visit wolframalpha.com and enter

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

and it will show the correct answer which you show above. Then hit the step-by-step solution button to see all the intermediate work.

**Related Questions**

FRENCH WORK ASAP - please please someone check my work I don't understand it ...

Math check my answers - I posted this before can someone please check my answers...

Math - ^=exponents /= divide So I am not sure how to do this. It is an example ...

Math check please - 2 rectangles have equal areas determine the area of each ...

math - can someone check my work? divid t^11/ t^3 is the answer t^3r2

Physics - Check my work please :) - Check this please :D Which of the following ...

Spanish-Please check my work - Could someone please check this for me. I had to ...

Algebra - Hello, can someone tell me if I got the following solve and check work...

Algebra - Hello, can someone help me solve and check the following 1) x - 8 = 20...

English - (1) Are you doing any volunteer work? How about your friends? 1. Yes, ...