document.write( "Question 958977: Hello good friends . I have an implicit differentiation question if someone could please be kind enough to help me out . implicitly differentiate , ycos(1/y)=4x+4y they are asking for dy/dx thank you! this is a tough one ! At least for me : ) \n" ); document.write( "
Algebra.Com's Answer #586093 by stanbon(75887) ![]() You can put this solution on YOUR website! (1/y)=4x+4y \n" ); document.write( "---- \n" ); document.write( "Rewrite:: \n" ); document.write( "y^-1 = 4x + 4y \n" ); document.write( "---- \n" ); document.write( "Differentiate:: \n" ); document.write( "-y^-2*y' = 4 + 4y' \n" ); document.write( "---- \n" ); document.write( "solve for y' \n" ); document.write( "6y' = -y^-2 - 4 \n" ); document.write( "---- \n" ); document.write( "y' = (-1/6)((1/y^2)+4) \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " |