document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1131248>Question 1131248</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the derivative using increment steps<BR>\n" );
document.write( "x^3 - 2x^2 + 7x - 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #747884 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=747884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  y\ =\ x^3\ -\ 2x^2\ +\ 7x\ -\ 3\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  y\ +\ \Delta{y}\ =\ \(x\ +\ \Delta{x}\)^3\ -\ 2\(x\ +\ \Delta{x}\)^2\ +\ 7\(x\ +\ \Delta{x}\)\ -\ 3\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  y\ +\ \Delta{y}\ =\ \(x^3\ +\ 3x^2\Delta{x}\ +\ 3x\Delta{x}^2\ +\ \Delta{x}^3\)\ -\ 2\(x^2\ +\ 2x\Delta{x}\ +\ \Delta{x}^2\)\ +\ 7\(x\ +\ \Delta{x}\)\ -\ 3\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  y\ +\ \Delta{y}\ =\ x^3\ +\ 3x^2\Delta{x}\ +\ 3x\Delta{x}^2\ +\ \Delta{x}^3\ -\ 2x^2\ -\ 4x\Delta{x}\ -\ 2\Delta{x}^2\ +\ 7x\ +\ 7\Delta{x}\ -\ 3\">\r<BR>\n" );
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document.write( "Subtract original function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \Delta{y}\ =\ 3x^2\Delta{x}\ +\ 3x\Delta{x}^2\ +\ \Delta{x}^3\ -\ 4x\Delta{x}\ -\ 2\Delta{x}^2\ +\ 7\Delta{x}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \frac{\Delta{y}}{\Delta{x}}\ =\ \frac{3x^2\Delta{x}\ +\ 3x\Delta{x}^2\ +\ \Delta{x}^3\ -\ 4x\Delta{x}\ -\ 2\Delta{x}^2\ +\ 7\Delta{x}}{\Delta{x}}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \frac{\Delta{y}}{\Delta{x}}\ =\ 3x^2\ +\ 3x\Delta{x}\ +\ \Delta{x}^2\ -\ 4x\ -\ 2\Delta{x}\ +\ 7\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \frac{dy}{dx}\ =\ \lim_{\Delta{x}\right{0}}\,\frac{\Delta{y}}{\Delta{x}}\ =\ \lim_{\Delta{x}\right{0}}\,3x^2\ +\ 3x\Delta{x}\ +\ \Delta{x}^2\ -\ 4x\ -\ 2\Delta{x}\ +\ 7\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \frac{dy}{dx}\ =\ 3x^2\ -\ 4x\ +\ 7\"><BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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