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Math Help - Finding the derivatives of Eqations containing trig

  1. #1
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    Finding the derivatives of Eqations containing trig

    Hey Guys Im really lost here.

    dy/dx, if y = xln[tan(2x)]

    dy/dx, if x^2(y) + sin(x + y) = x

    First off dy/dx is just the same as finding the derivative correct? How do I find these?

    Is there a good website you could recomend with sample questions and detailed solutions? Thanks
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  2. #2
    Senior Member apcalculus's Avatar
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    Quote Originally Posted by enjoiii View Post
    Hey Guys Im really lost here.

    dy/dx, if y = xln[tan(2x)]

    dy/dx, if x^2(y) + sin(x + y) = x

    First off dy/dx is just the same as finding the derivative correct? How do I find these?

    Is there a good website you could recomend with sample questions and detailed solutions? Thanks
    You need to review implicit differentiation and the chain rule for these types of problems.

    The first one:

    dy/dx = x' ln[tan(2x)] + x (ln[tan(2x)])' <-- Product Rule on the right side

    dy/dx = ln[tan(2x)] + x \frac{1}{tan(2x)} sec^2(2x) * 2 <--- Chain Rule applied twice.


    See if you can try the second one on your own!

    Good luck!
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