document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=298073>Question 298073</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hey I've tried this 3 times and I keep getting stuck halfway through it. Could someone please take me through the steps.\r<BR>\n" );
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document.write( "z = f(x,y) of x and y, which has partial derivatives: dz/dx = 2xy and dz/dy = x^2\r<BR>\n" );
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document.write( "given the relations: r = sqrt(x^2+y^2) and theta = arctan (y/2)<BR>\n" );
document.write( "x = r cos (theta) and y = r sin (theta)\r<BR>\n" );
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document.write( "find dz/d(theta) (expressed in terms of r and theta) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #214866 by </B><A HREF=/tutors/aboutme.mpl?userid=user_dude2008><B>user_dude2008(1862)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=user_dude2008><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=214866\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> dz/dx = 2xy<BR>\n" );
document.write( "z=x^2y+C\r<BR>\n" );
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document.write( "dz/dy = x^2 <BR>\n" );
document.write( "z=x^2y+C\r<BR>\n" );
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document.write( "z = f(x,y) = x^2y+C\r<BR>\n" );
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document.write( "z=x^2y+C\r<BR>\n" );
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document.write( "z=(r*cos(theta))^2*r*sin(theta)+C\r<BR>\n" );
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document.write( "z=r^2*cos^2(theta)*r*sin(theta)+C\r<BR>\n" );
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document.write( "z=r^3*cos^2(theta)*sin(theta)+C\r<BR>\n" );
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document.write( "dz/d(theta) = r^3[-2cos(theta)sin^2(theta)+cos^3(theta)]\r<BR>\n" );
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document.write( " </SPAN>\n" );
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