document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=375858>Question 375858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, Totally Stuck here, not sure if the lecturer has skiped over this part, \r<BR>\n" );
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document.write( "Find dy=dx as a function of x and y when:<BR>\n" );
document.write( "(a) y - x sin y - 3x^2 - 1 = 0 <BR>\n" );
document.write( "(b) x^2y^3 - x^2 + 3y - 3 = 0 <BR>\n" );
document.write( "(c) (1 - x^2) tan^-1 y = 3\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #267296 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=267296\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use implicit differentiation, treat each terms as if it is differentiable (other than constants). Use the product rule, etc. to simplify. Gather up all of the dy and dx terms and then form the quotient, dy/dx.<BR>\n" );
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document.write( "I'll do one, you do the rest.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+x%2Asin%28y%29+-+3x%5E2+-+1=0 ALIGN=MIDDLE  ALT=\"y+-+x%2Asin%28y%29+-+3x%5E2+-+1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy-%28x%2Acos%28y%29dy%2Bsin%28y%29%2Adx%29-6xdx=0 ALIGN=MIDDLE  ALT=\"dy-%28x%2Acos%28y%29dy%2Bsin%28y%29%2Adx%29-6xdx=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy-x%2Acos%28y%29dy=6xdx%2Bsin%28y%29dx ALIGN=MIDDLE  ALT=\"dy-x%2Acos%28y%29dy=6xdx%2Bsin%28y%29dx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%281-x%2Acos%28y%29%29=%286x%2Bsin%28y%29%29dx ALIGN=MIDDLE  ALT=\"dy%281-x%2Acos%28y%29%29=%286x%2Bsin%28y%29%29dx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28dy%2Fdx=%286x%2Bsin%28y%29%29%2F%281-x%2Acos%28y%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28dy%2Fdx=%286x%2Bsin%28y%29%29%2F%281-x%2Acos%28y%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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