document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203112>Question 1203112</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the derivative of 5/x²+3 using first derivative method. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838417 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=838417\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "The expression you provided is vague.\r<BR>\n" );
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document.write( "Is it <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28x%5E2%29+%2B+3 ALIGN=MIDDLE  ALT=\"5%2F%28x%5E2%29+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >? \r<BR>\n" );
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document.write( "Or is it <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28x%5E2+%2B+3%29 ALIGN=MIDDLE  ALT=\"5%2F%28x%5E2+%2B+3%29\"   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=5%2F%28x%5E2%29+%2B+3 ALIGN=MIDDLE  ALT=\"5%2F%28x%5E2%29+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > when written on a keyboard is 5/(x^2)+3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28x%5E2+%2B+3%29 ALIGN=MIDDLE  ALT=\"5%2F%28x%5E2+%2B+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > when written on a keyboard is 5/(x^2+3)\r<BR>\n" );
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document.write( "Pay careful attention to the placement of the parenthesis.\r<BR>\n" );
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document.write( "If y = 5/(x^2) + 3, then,\r<BR>\n" );
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document.write( "y = 5/(x^2) + 3<BR>\n" );
document.write( "y = 5x^(-2) + 3<BR>\n" );
document.write( "dy/dx = d/dx[ 5x^(-2) + 3 ]<BR>\n" );
document.write( "dy/dx = d/dx[ 5x^(-2) ] + d/dx[ 3 ]<BR>\n" );
document.write( "dy/dx = 5*d/dx[ x^(-2) ] + d/dx[ 3 ]<BR>\n" );
document.write( "dy/dx = 5*(-2)*x^(-2-1) + 0<BR>\n" );
document.write( "dy/dx = -10x^(-3)<BR>\n" );
document.write( "dy/dx = -10/(x^3)\r<BR>\n" );
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document.write( "OR<BR>\n" );
document.write( "If y = 5/(x^2+3), then,\r<BR>\n" );
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document.write( "y = 5/(x^2+3)<BR>\n" );
document.write( "y = 5(x^2+3)^(-1)<BR>\n" );
document.write( "dy/dx = d/dx[ 5(x^2+3)^(-1) ]<BR>\n" );
document.write( "dy/dx = 5*d/dx[ (x^2+3)^(-1) ]<BR>\n" );
document.write( "dy/dx = 5*(-1)*(x^2+3)^(-1-1) * d/dx[ x^2+3 ]<BR>\n" );
document.write( "dy/dx = 5*(-1)*(x^2+3)^(-2) *(2x)<BR>\n" );
document.write( "dy/dx = -10x(x^2+3)^(-2)<BR>\n" );
document.write( "dy/dx = -10x/( (x^2+3)^2 )\r<BR>\n" );
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