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Math Help - Differentiate a function.

  1. #1
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    Differentiate a function.

    Find dy/dx:

    y= xtan(u^2)/ln(x)

    This is just some Diff eqn review for my fluid mechanic class, and Im a bit rusty any help would be appreciated!

    I tried integrating both sides but I got lost when I tried to integrate for x...
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  2. #2
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    You don't integrate to find a derivative...

    Also, what is \displaystyle u? Is it a function of \displaystyle x or a constant?
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  3. #3
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    u = 1+ x^3
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    Why didn't I know that? My psychic powers are a little off this morning...

    Anyway \displaystyle y = \frac{x\tan{\left[(1+x^3)^2\right]}}{\ln{x}}.

    You need to use the Quotient Rule, then the Product Rule, then the Chain Rule... See how you go.
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  5. #5
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    y = tan(1+x^3)^2 (ln(x))*tan(1+x^3)^2 + 6x^3 sec^2 (x^3+1)tan(x^3+1) / ln(x)^2

    I think thats about right just wasn't expecting that for a damn fluids class lol Thanks.
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