document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=344596>Question 344596</A>: <I><SPAN STYLE=\"word-break: break-all;\"> lease help me solve this equation: Differentiate the following functions. DO NOT SIMPLIFY.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+int%28+cos%28u%5E2%2B1%29%2C+du%2C+sin+y%2C+sqrt%28y%29+%29+ ALIGN=MIDDLE  ALT=\"+int%28+cos%28u%5E2%2B1%29%2C+du%2C+sin+y%2C+sqrt%28y%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #246595 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=246595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Apply the Leibniz rule (see http://en.wikipedia.org/wiki/Differentiation_under_the_integral_sign#Higher_dimensions)<BR>\n" );
document.write( "Follow the Example 6 discussion.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+int%28+cos%28u%5E2%2B1%29%2C+du%2C+a%28y%29%2C+b%28y%29+%29=cos%28b%5E2%2B1%29%2A%28db%2Fdy%29-cos%28a%5E2%2B1%29%2A%28da%2Fdy%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The third term is not present since <BR>\n" );
document.write( "d/dx(cos(u^2+1))=0<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28y%29=sin%28y%29 ALIGN=MIDDLE  ALT=\"a%28y%29=sin%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=da%2Fdy=cos%28y%29 ALIGN=MIDDLE  ALT=\"da%2Fdy=cos%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%28y%29=sqrt%28y%29 ALIGN=MIDDLE  ALT=\"b%28y%29=sqrt%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=db%2Fdy=1%2F%282%2Asqrt%28y%29%29 ALIGN=MIDDLE  ALT=\"db%2Fdy=1%2F%282%2Asqrt%28y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+int%28+cos%28u%5E2%2B1%29%2C+du%2C+sin%28y%29%2C+sqrt%28y%29+%29=%28cos%28y%2B1%29%29%2F%282%2Asqrt%28y%29%29-cos%28sin%5E2%28y%29%2B1%29%2Acos%28y%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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