document.write( "Question 991172: Q: Let f(x) = $\"+%283x-1%29%2F%28x%2B2%29+\"$
\n" ); document.write( "Find f ' (x) first set up the limits & simplify\r
\n" ); document.write( "\n" ); document.write( "My soltn:
\n" ); document.write( "lim x->c $\"+%28f%28x%29-f%28c%29%29%2F%28x-c%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "lim x->c $\"+%28%28%283x-1%29%2F%28x%2B2%29%29-%28%283c-1%29%2F%28c%2B2%29%29%29%2F%28x-c%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "I got the solution 7/(x+2)(c+2) but my program keeps saying this is incorrect.\r
\n" ); document.write( "\n" ); document.write( "Please help! \n" ); document.write( "

Algebra.Com's Answer #611099 by rothauserc(4718) $\"\"$ $\"About$

You can put this solution on YOUR website!
f'(x) = limit as h --> 0 of ( f(x+h) - f(x) ) / h
\n" ); document.write( "*******************************************************************
\n" ); document.write( "we are given the function,
\n" ); document.write( "f(x) = (3x-1) / (x+2)
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\n" ); document.write( "f'(x) = limit as h --> 0 of (( 3(x+h)-1 / (x+h+2) ) - ( (3x-1) / (x+2) )) / h =
\n" ); document.write( "( 3x+3h-1 ) / (x+h+2) ) - ( (3x-1) / (x+2) ) / h =
\n" ); document.write( "( (x+2)*(3x+3h-1) - ( (x+h+2)*(3x-1) ) / (x+h+2)*(xh+2h) =
\n" ); document.write( "( (3x^2+3hx+5x+6h-2) - (3x^2+3hx+5x-h-2) ) / (x^2h+xh^2+4xh+2h^2+4h) =
\n" ); document.write( "( 7h ) / (x^2h+xh^2+4xh+2h^2+4h) =
\n" ); document.write( "7 / (x^2 +xh +4x +2h + 4) =
\n" ); document.write( "as h -->0 xh and 2h terms go to 0, then we have
\n" ); document.write( "7 / (x^2 +4x + 4) =
\n" ); document.write( "7 / (x+2)^2\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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