document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=330494>Question 330494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please find the equation of the tangent to the curve given by<BR>\n" );
document.write( "y= x^3 - 5x + 15<BR>\n" );
document.write( "at the point where x= -1<BR>\n" );
document.write( "I got the answer to be<BR>\n" );
document.write( "y= -2x +17<BR>\n" );
document.write( "but im not sure if this is right.<BR>\n" );
document.write( "could you show working if im incorrect please.thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #236895 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=236895\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The slope of the tangent line equals the value of the derivative at x=-1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E3-5x%2B15 ALIGN=MIDDLE  ALT=\"y=x%5E3-5x%2B15\"   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=3x%5E2-5 ALIGN=MIDDLE  ALT=\"dy%2Fdx=3x%5E2-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "At <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-1%29%5E3-5%28-1%29%2B15=-1%2B5%2B15=-19 ALIGN=MIDDLE  ALT=\"y=%28-1%29%5E3-5%28-1%29%2B15=-1%2B5%2B15=-19\"   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=3%28-1%29%5E2-5=-2 ALIGN=MIDDLE  ALT=\"dy%2Fdx=3%28-1%29%5E2-5=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the point-slope form of a line, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-yp=m%28x-xp%29 ALIGN=MIDDLE  ALT=\"y-yp=m%28x-xp%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-%28-19%29=-2%28x-%28-1%29%29 ALIGN=MIDDLE  ALT=\"y-%28-19%29=-2%28x-%28-1%29%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%2B19=-2%28x%2B1%29 ALIGN=MIDDLE  ALT=\"y%2B19=-2%28x%2B1%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=-2x-2-19 ALIGN=MIDDLE  ALT=\"y=-2x-2-19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B17 ALIGN=MIDDLE  ALT=\"y=-2x%2B17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "That's what I get too. <BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-5%2C5%2C-5%2C25%2Ccircle%28-1%2C19%2C.2%29%2Cgrid%281%29%2Cgraph%28300%2C300%2C-5%2C5%2C-5%2C25%2Cx%5E3-5x%2B15%2C-2x%2B17%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );