document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=963782>Question 963782</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me solve this questions\r<BR>\n" );
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document.write( "1. Find dy/dx for y = 5x^2 – 6x + 3\r<BR>\n" );
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document.write( "2. What is the tangent line to y = 5x^2 – 6x + 3 at (0,3)?\r<BR>\n" );
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document.write( "3. If it exists, what is Lim   (f(3 +h) – f(3)) / h   ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #588780 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=588780\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=10x-6 ALIGN=MIDDLE  ALT=\"dy%2Fdx=10x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "2. Slope of the tangent line is equal to the value of the derivative at (0,3).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=10x-6 ALIGN=MIDDLE  ALT=\"dy%2Fdx=10x-6\"   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=10%280%29-6 ALIGN=MIDDLE  ALT=\"m=dy%2Fdx=10%280%29-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-6 ALIGN=MIDDLE  ALT=\"m=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "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-3=-6%28x-0%29 ALIGN=MIDDLE  ALT=\"y-3=-6%28x-0%29\"   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=-6x%2B3%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-6x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "3. I'm assuming that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=5x%5E2-6x%2B3 ALIGN=MIDDLE  ALT=\"f%28x%29=5x%5E2-6x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28h%2B3%29=5%28h%2B3%29%5E2-6%28h%2B3%29%2B3 ALIGN=MIDDLE  ALT=\"f%28h%2B3%29=5%28h%2B3%29%5E2-6%28h%2B3%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28h%2B3%29=5%28h%5E2%2B6h%2B9%29-6h-18%2B3 ALIGN=MIDDLE  ALT=\"f%28h%2B3%29=5%28h%5E2%2B6h%2B9%29-6h-18%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28h%2B3%29=5h%5E2%2B24h%2B30 ALIGN=MIDDLE  ALT=\"f%28h%2B3%29=5h%5E2%2B24h%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29=5%283%29%5E2-6%283%29%2B3 ALIGN=MIDDLE  ALT=\"f%283%29=5%283%29%5E2-6%283%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29=45-18%2B3 ALIGN=MIDDLE  ALT=\"f%283%29=45-18%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29=30 ALIGN=MIDDLE  ALT=\"f%283%29=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28h%2B3%29-f%283%29=5h%5E2%2B24h%2B30-30 ALIGN=MIDDLE  ALT=\"f%28h%2B3%29-f%283%29=5h%5E2%2B24h%2B30-30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28h%2B3%29-f%283%29=5h%5E2%2B24h ALIGN=MIDDLE  ALT=\"f%28h%2B3%29-f%283%29=5h%5E2%2B24h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28h%2B3%29-f%283%29%29%2Fh=5h%2B24 ALIGN=MIDDLE  ALT=\"%28f%28h%2B3%29-f%283%29%29%2Fh=5h%2B24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28h-%3E0%2C%28f%28h%2B3%29-f%283%29%29%2Fh=24%29 ALIGN=MIDDLE  ALT=\"lim%28h-%3E0%2C%28f%28h%2B3%29-f%283%29%29%2Fh=24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is the definition of the derivative at <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;\" ><BR>\n" );
document.write( "As a check,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=10x-6 ALIGN=MIDDLE  ALT=\"dy%2Fdx=10x-6\"   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=10%283%29-6 ALIGN=MIDDLE  ALT=\"dy%2Fdx=10%283%29-6\"   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=30-6 ALIGN=MIDDLE  ALT=\"dy%2Fdx=30-6\"   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=24 ALIGN=MIDDLE  ALT=\"dy%2Fdx=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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