document.write( "Question 62061: I am not sure what this problem means so I don't know how to answer it, could someone help me please?\r
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document.write( "The number e is the value of x in the equation y =2^x, where the slope of the line just grazing the curve at the point (0,1) equals 1. Is this true or false? \n" );
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Algebra.Com's Answer #42829 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! I am not sure what this problem means so I don't know how to answer it, could someone help me please? \n" ); document.write( "The number e is the value of x in the equation y =2^x, where the slope of the line just grazing the curve at the point (0,1) equals 1. Is this true or false? \n" ); document.write( "y=2^x \n" ); document.write( "dy/dx=(2^x)ln(2)...at x=0...the slope is 2^0*ln(2)=ln(2) \n" ); document.write( "but slope is given as 1. \n" ); document.write( "so it is not correct. \n" ); document.write( "at x=e ,the slope is 2^e*ln(2) \n" ); document.write( "but thee is a contradiction in the poblem..it say value of x=e and also says the point is (0,1)...which means x=0...both of whih are contradictory. \n" ); document.write( "IF THE PROBLEM IS Y=A^X...FIND A WHERE SLOPE OF TANGENT AT (0,1) IS 1. \n" ); document.write( "THEN , WE GET SLOPE = DY/DX = A^X*LN(A)....AT X =0....SLOPE = LN(A)=1 \n" ); document.write( "HENCE A=E..WHICH IS OK \n" ); document.write( " \n" ); document.write( " |