document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=947655>Question 947655</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'M TRYING TO UNDERSTAND HOW THE  DERIVATIVE OF X^1/4 WAS OBTAINED. USEING<BR>\n" );
document.write( "THE FORMAT:  lim h--0 f(X+h) - f(X-h)/ X+h - X-h OR 2h\r<BR>\n" );
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document.write( "   LIM  h--0  1/2h [(X+h)^1/4 - (X-h)^1/4 ]\r<BR>\n" );
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document.write( "THE ANSWER BY USING THE POWER RULE IS 1/4X^3/4 BUT I CAN'T FIGURE OUT THE MATH TO PROVE IT.\r<BR>\n" );
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document.write( "CONFUSED AND IN SEARCH OF CLARITY </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578300 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=578300\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The difference quotient needs to be this format:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%2Bh%29-f%28x%29%29%2Fh ALIGN=MIDDLE  ALT=\"%28f%28x%2Bh%29-f%28x%29%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29=%28x%2Bh%29%5E%281%2F4%29 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29=%28x%2Bh%29%5E%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E%281%2F4%29 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Forming the difference quotient:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2Bh%29%5E%281%2F4%29-x%5E%281%2F4%29%29%2Fh ALIGN=MIDDLE  ALT=\"%28%28x%2Bh%29%5E%281%2F4%29-x%5E%281%2F4%29%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x%2Bh%29%5E%281%2F2%29%2Bx%5E%281%2F2%29%29%28%28x%2Bh%29%5E%281%2F2%29-x%5E%281%2F2%29%29%29%2Fh ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and from here, there is an algebraic trick taught in College Algebra during the study of limits, but unsure about how to work with it at this moment.  Maybe you can review that and finish.  I leave this unfinished posting up anyhow. </SPAN>\n" );
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