document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207055>Question 207055</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi all, I was hoping to get some help with the following problem.<BR>\n" );
document.write( "Find &#8710;y/&#8710;x (given the following information)<BR>\n" );
document.write( "b) y = sqrt(x), x=9, &#8710;x= 0.9<BR>\n" );
document.write( "Any help would be great.<BR>\n" );
document.write( "-Nick. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854666 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53937)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854666\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Hi all, I was hoping to get some help with the following problem.<BR>\n" );
document.write( "Find ∆y/∆x (given the following information)<BR>\n" );
document.write( "b) y = sqrt(x), x=9, ∆x= 0.9<BR>\n" );
document.write( "Any help would be great.<BR>\n" );
document.write( "-Nick.<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Calculations and the answer in the post by @HyperBrain are incorrect.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I came to bring a correct solution.\r<BR>\n" );
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document.write( "I will use x instead of ∆ for easy writing.\r<BR>\n" );
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document.write( "x=9 so y=sqrt(9)=3<BR>\n" );
document.write( "since x=9, delta_x= 0.9, then x + delta_x=9.9<BR>\n" );
document.write( "y + delta_y=sqrt (x + delta_x)= sqrt (9.9)=3.146 (approx.)<BR>\n" );
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document.write( "delta_y=(y + delta_y)-y=3.146-3=0.146<BR>\n" );
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document.write( "so, delta_y/delta_x=0.146/0.9=0.162<BR>\n" );
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document.write( "Solved correctly.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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