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!

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 :)

Quote:

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Originally Posted by missgiraffe

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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