document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025928>Question 1025928</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please show how to take the implicit differentiation of this problem?\r<BR>\n" );
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document.write( "Compute (d^2y) / (dx^2) of: y^2sec(x) = 1 \r<BR>\n" );
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document.write( "Please explain \r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641231 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=641231\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the chain rule,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%28tan%28x%29sec%28x%29dx%29%2Bsec%28x%29%282ydy%29=0 ALIGN=MIDDLE  ALT=\"y%5E2%28tan%28x%29sec%28x%29dx%29%2Bsec%28x%29%282ydy%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor out sec(x).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2tan%28x%29dx=-2ydy ALIGN=MIDDLE  ALT=\"y%5E2tan%28x%29dx=-2ydy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=-%28ytan%28x%29%29%2F2 ALIGN=MIDDLE  ALT=\"dy%2Fdx=-%28ytan%28x%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now differentiate again using the chain rule,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d2y%29%2F%28dx2%29=-%281%2F2%29%28y%2Asec%5E2%28x%29%2Btan%28x%29%28dy%2Fdx%29%29 ALIGN=MIDDLE  ALT=\"%28d2y%29%2F%28dx2%29=-%281%2F2%29%28y%2Asec%5E2%28x%29%2Btan%28x%29%28dy%2Fdx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d2y%29%2F%28dx2%29=-%281%2F2%29%28y%2Asec%5E2%28x%29%2Btan%28x%29%28-%28ytan%28x%29%29%2F2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d2y%29%2F%28dx2%29=-%28y%2F4%29%282sec%5E2%28x%29-tan%5E2%28x%29%29%29 ALIGN=MIDDLE  ALT=\"%28d2y%29%2F%28dx2%29=-%28y%2F4%29%282sec%5E2%28x%29-tan%5E2%28x%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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