document.write( "Question 140705: Please help me to obtain the derivative. for given: Y=x^2-4X+5\r
\n" ); document.write( "\n" ); document.write( "I think the original points are: (X1, X2-4x+5)
\n" ); document.write( "and second point should be (x + h, (X + h)^2\r
\n" ); document.write( "\n" ); document.write( "next I need to find oy and ox (which = the y2 + y1 and x1 + x2) \r
\n" ); document.write( "\n" ); document.write( "This is where I get confused, I don't know what to do next. \n" ); document.write( "
Algebra.Com's Answer #102480 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
derivative. for given: Y=x^2-4X+5
\n" ); document.write( "-------------
\n" ); document.write( "limit as h goes to zero of [f(x+h)-f(x)]/[h]
\n" ); document.write( "-------------
\n" ); document.write( "f(x+h) = (x+h)^2-4(x+h)+5
\n" ); document.write( "= x^2+2hx+h^2-4x-4h+5
\n" ); document.write( "-----------
\n" ); document.write( "f(x+h)-f(x) = 2hx+h^2-4h
\n" ); document.write( "-----------
\n" ); document.write( "[f(x+h)-f(x)]/[h] = 2x+h-4
\n" ); document.write( "--------------
\n" ); document.write( "limit as h goes to zero is 2x-4 (this is the derivative you want)
\n" ); document.write( "==================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );