document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=965782>Question 965782</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Really need the step by step solution to these questions\r<BR>\n" );
document.write( "\n" );
document.write( "1. What is the tangent line of y = cos x at x = &#960;/4?\r<BR>\n" );
document.write( "\n" );
document.write( "2. What is the derivative of (5x + 2)(x^3 + 4x)?\r<BR>\n" );
document.write( "\n" );
document.write( "3. Construct an f(x) such that lim f(x) = &#8734; but lim (x-3)f(x) = 0\r<BR>\n" );
document.write( "\n" );
document.write( "                                          x&#8594;3             x&#8594;3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #590277 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=590277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.The slope of the tangent line is the value of the derivative at the point of interest. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=cos%28x%29 ALIGN=MIDDLE  ALT=\"y=cos%28x%29\"   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=-sin%28x%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=-sin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=dy%2Fdx=-sin%28pi%2F4%29=-sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"m=dy%2Fdx=-sin%28pi%2F4%29=-sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the value of y at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=pi%2F4 ALIGN=MIDDLE  ALT=\"x=pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=cos%28pi%2F4%29 ALIGN=MIDDLE  ALT=\"y=cos%28pi%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"y=sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now use the point slope form of a line,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-sqrt%282%29%2F2=-%28sqrt%282%29%29%2F2%28x-pi%2F4%29 ALIGN=MIDDLE  ALT=\"y-sqrt%282%29%2F2=-%28sqrt%282%29%29%2F2%28x-pi%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-sqrt%282%29%2F2=-%28sqrt%282%29%2F2%29x-%28pi%2Asqrt%282%29%29%2F8 ALIGN=MIDDLE  ALT=\"y-sqrt%282%29%2F2=-%28sqrt%282%29%2F2%29x-%28pi%2Asqrt%282%29%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-%28sqrt%282%29%2F2%29x%2B%28sqrt%282%29%2F2%29%281-pi%2F4%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-%28sqrt%282%29%2F2%29x%2B%28sqrt%282%29%2F2%29%281-pi%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=dae.JPG\">.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=%285x%2B2%29%283x%5E2%2B4%29%2B%28x%5E3%2B4x%29%285%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=%285x%2B2%29%283x%5E2%2B4%29%2B%28x%5E3%2B4x%29%285%29\"   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=%2815x%5E3%2B6x%5E2%2B20x%2B8%29%2B%285x%5E3%2B20x%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=%2815x%5E3%2B6x%5E2%2B20x%2B8%29%2B%285x%5E3%2B20x%29\"   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=20x%5E3%2B6x%5E2%2B40x%2B8 ALIGN=MIDDLE  ALT=\"dy%2Fdx=20x%5E3%2B6x%5E2%2B40x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "3. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=1%2F%28x-3%29 ALIGN=MIDDLE  ALT=\"f%28x%29=1%2F%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity ALIGN=MIDDLE  ALT=\"-infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >)U(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >) and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=0 ALIGN=MIDDLE  ALT=\"f%28x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );