document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190932>Question 1190932</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that y=(x-3)square root x-1, find dy/dx and the value of x for which the gradient is zero. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822706 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=822706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=(x-3)*sqrt(x-1)\r<BR>\n" );
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document.write( "y'=(x-3)*1/2(sqrt(x-1)+(sqrt(x-1))<BR>\n" );
document.write( "set y'=0<BR>\n" );
document.write( "move one of the terms.<BR>\n" );
document.write( "-sqrt(x-1)=(x-3)/2sqrt(x-1)<BR>\n" );
document.write( "-2(x-1)=x-3<BR>\n" );
document.write( "-2x+2=x-3<BR>\n" );
document.write( "3x=5<BR>\n" );
document.write( "x=(5/3) y=-1.09<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-1%2C4%2C-5%2C5%2C-1.09%2C%28x-3%29%2Asqrt%28x-1%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-1%2C4%2C-5%2C5%2C-1.09%2C%28x-3%29%2Asqrt%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5/3 is the answer </SPAN>\n" );
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