Thursday

November 27, 2014

November 27, 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.

**Answer this Question**

**Related Questions**

Calculus--> bobpursley - How do you get m=0? from taking the second ...

Math, Calculus - Find the derivative of the function. y= xcosx - sinx What's the...

Calc - I'm creating a "calculu for dummies" project book. I've already done most...

Calculus - Does my answer look correct? Find the derivative. 11, y= (e^3-e)(e+5...

Applied Calculus - Find the first and second derivative of the function: x/(7x+...

MoRe HeLp PlEaSe!! (calc) - Also can I get some help with this LONG, TIRESOME ...

Math (Algebra) - Could I have someone check my work please? If I did something ...

Calculus - How do I use the chain rule to find the derivative of square root(1-x...

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

Calculus - Hi~ Thank you for your help! I was trying to work on a problem about ...