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Math Help - Can someone double check these derivatives?

  1. #1
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    Can someone double check these derivatives?

    A) y = log2 [(e^(-x))*cos(pi x)]

    My solution was -(1+tan(pi x))/ln2


    B) arctan(xy) = 1 + (x^2)y
    My solution was y(2x+2x^3y^2-1)/x(1-x-x^3y^2)


    They are kind of complicated and I just want to make sure I have done them right. Did anyone else get these same answers or something different? Thank you!
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  2. #2
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    Just to clarify, the first question is log with a subscript 2...I couldn't figure out how to write it like that on here
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  3. #3
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    Quote Originally Posted by missgiraffe View Post
    A) y = log2 [(e^(-x))*cos(pi x)]

    -(1 + pi*tan(pi x))/ln2


    B)arctan(xy) = 1 + (x^2)y
    My solution was y(2x+2x^3y^2-1)/x(1-x-x^3y^2)

    looks fine
    ...
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