document.write( "Question 61512: Use calculus to determine the relative extrema of f(x)=x-lnx\r
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document.write( "Find the equation of the tangent line at x=1\r
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document.write( "please help, i'm so confused! \n" );
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Algebra.Com's Answer #42344 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! Use calculus to determine the relative extrema of \n" ); document.write( " f(x)=x-lnx \n" ); document.write( "DF/DX =1-1/X = 0 AT EXTREMUM \n" ); document.write( "X =1 \n" ); document.write( "D^F/DX^2 = 1/X^2 = 1/1=+VE \n" ); document.write( "HENCE X=1 IS A MINIMUM \n" ); document.write( "SLOPE OF TANGENT AT X=1 DY/DX AT X=1........THAT IS M = 0\r \n" ); document.write( "\n" ); document.write( "AT X=1 ..Y = 1-LN1 =1 \n" ); document.write( "HENCE EQN.OF TANGENT AT X=1,Y=1 IS \n" ); document.write( "Y-1=M(X-1)=0 \n" ); document.write( "Y = 1 IS THE EQN. OF THE TANGENT AT X=1\r \n" ); document.write( "\n" ); document.write( "Find the equation of the tangent line at x=1 \n" ); document.write( "please help, i'm so confused! \n" ); document.write( " \n" ); document.write( " |