document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1027265>Question 1027265</A>: <I><SPAN STYLE=\"word-break: break-all;\">    X | f(x) | g(x) | df/dx | dg/dx<BR>\n" );
document.write( "   _____________________________<BR>\n" );
document.write( "   -2 |  3  |    1   |   -5    |   8<BR>\n" );
document.write( "   -1 |  -9 |   7    |    4    |    1<BR>\n" );
document.write( "    0 |  5  |   9   |    9     |   -3<BR>\n" );
document.write( "    1  |   3  |   -1  |    2    |   6<BR>\n" );
document.write( "    2  |  -5 |   3   |   8     |   0\r<BR>\n" );
document.write( "\n" );
document.write( "Using the table of data:<BR>\n" );
document.write( "a) Let j(x) = f(x) g(x) sinx. What is dj/dx when x =0?<BR>\n" );
document.write( "b) Let h(x) = [f(x) + x^2]^3. What is dh/dx when x=1?<BR>\n" );
document.write( "c) Let k(x) = (ln(x+2))/g(x). What is dk/dx when x = -1?\r<BR>\n" );
document.write( "\n" );
document.write( "Provide a graph for each f(x) and g(x).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642622 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=642622\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29+=+%28f%28x%29%2Bx%5E2%29%5E3 ALIGN=MIDDLE  ALT=\"h%28x%29+=+%28f%28x%29%2Bx%5E2%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dh%2Fdx+=+3%28f%28x%29%2Bx%5E2%29%5E2%2A%28df%2Fdx%2B2x%29 ALIGN=MIDDLE  ALT=\"dh%2Fdx+=+3%28f%28x%29%2Bx%5E2%29%5E2%2A%28df%2Fdx%2B2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dh%281%29%2Fdx+=+3%28f%281%29%2B1%5E2%29%5E2%2A%28df%281%29%2Fdx%2B2%2A1%29+=3%283%2B1%29%5E2%2A%282%2B2%29+=+3%2A4%5E3+=+192+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j%28x%29+=+f%28x%29g%28x%29sin%28x%29 ALIGN=MIDDLE  ALT=\"j%28x%29+=+f%28x%29g%28x%29sin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> j'(x) = f'(x)g(x)sinx + f(x)g'(x)sinx + f(x)g(x)cosx ==> j'(0) = f'(0)g(0)sin0 + f(0)g'(0)sin0 + f(0)g(0)cos0 = 0 + 0 + 5*9*1 = 45.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%28x%29+=+ln%28x%2B2%29%2Fg%28x%29 ALIGN=MIDDLE  ALT=\"k%28x%29+=+ln%28x%2B2%29%2Fg%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> k'(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g%28x%29%2F%28x%2B2%29+-+ln%28x%2B2%29%2A%28dg%28x%29%2Fdx%29%29%2F%28g%28x%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28g%28x%29%2F%28x%2B2%29+-+ln%28x%2B2%29%2A%28dg%28x%29%2Fdx%29%29%2F%28g%28x%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> k'(-1) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g%28-1%29%2F%28-1%2B2%29+-+ln%28-1%2B2%29%2A%28dg%28-1%29%2Fdx%29%29%2F%28g%28-1%29%29%5E2+=+%287-0%29%2F49+=+1%2F7 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );