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Math Help - derivative QUESTION check!

  1. #1
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    derivative QUESTION check!

    differentiate :

    <br />
\frac{x^2tanx}{x^2+1}<br />


    <br />
=\frac{(x^2+1)(2xtanx + x^2sec^2x)-(x^2tanx)(2x)}{(x^2+1)^2}<br />

    correct?
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by jvignacio View Post
    differentiate :

    <br />
\frac{x^2tanx}{x^2+1}<br />


    <br />
=\frac{(x^2+1)(2xtanx + x^2sec^2x)-(x^2tanx)(2x)}{(x^2+1)^2}<br />

    correct?
    Correct!

    --Chris
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  3. #3
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    Quote Originally Posted by Chris L T521 View Post
    Correct!

    --Chris
    Yay ! thank u
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  4. #4
    Super Member Matt Westwood's Avatar
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    Correct indeed, but I'd want to play with it and tidy it up and simplify it down as much as possible before letting it go.
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  5. #5
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    Quote Originally Posted by Matt Westwood View Post
    Correct indeed, but I'd want to play with it and tidy it up and simplify it down as much as possible before letting it go.

    yeah i have abit of problem with the algrebra n simplifying
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  6. #6
    Super Member Matt Westwood's Avatar
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    Not good news. Essential to get good at algebra. It's like needing to be good at grammar and spelling if you want to be a writer. Give yourself all the practice you can get.
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  7. #7
    Math Engineering Student
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    f(x)=\frac{x^{2}\tan x}{x^{2}+1}=\frac{x^{2}+1-1}{x^{2}+1}\cdot \tan x=\tan x-\frac{\tan x}{x^{2}+1}.
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