check my work on derivatives

posted by .

Can someone check my work?

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 -

    Well, 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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Does my answer look correct? Find the derivative. 11, y= (e^3-e)(e+5)/6e my work: ((6e)(4e^3 + 15e^2 - 2e - 5) - (6)(e^4 + 5e^3 - e^2 - 5e))/ (6e)^2 Multiplied/divided everything through My answer: (10e^2 + 30e - 3)/ 18 I cant follow
  2. MoRe HeLp PlEaSe!! (calc)

    Also can I get some help with this LONG, TIRESOME PROBLEM?
  3. Math, Calculus

    Find the derivative of the function. y= xcosx - sinx What's the derivative?
  4. Calculus--> bobpursley

    How do you get m=0? from taking the second derivative?
  5. Calculus

    How do I use the chain rule to find the derivative of square root(1-x^2) also, are there any general hints or tips for determining when the chain rule and product or quotient rule should be used?
  6. FRENCH WORK ASAP

    please please someone check my work I don't understand it fully so I am asking if someone could please check my work thank you if it's too much I'm sorry. God Bless
  7. Math (Algebra)

    Could I have someone check my work please?
  8. Calc

    I'm creating a "calculu for dummies" project book. I've already done most of it, I'm just stuck on these ones. Thank you! -What is the definition of a derivative?
  9. Applied Calculus

    Find the first and second derivative of the function: x/(7x+10) Using quotient rule. This is part of my homework in the section named "Higher Order Derivatives". I am confused on getting the second derivative, as I found the first …
  10. Math (please check)

    Compute the indicated derivative. d/dt [ ( t^2 + t^0.5 ) ( t^0.5 - t^-0.5 ) ] |t=1 I took the f and g prime then I used the quotient rule my final answer came out to 3t^1.5 - 1.5t^0.5 + t + 0.5t^-1 then I plugged 1 in for t and got …

More Similar Questions