document.write( "Question 1010488: Using Limits to Calculate a Derivative
\n" ); document.write( "The derivative of
\n" ); document.write( "f(x)= 1/(x-1)
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\n" ); document.write( "f(x) = -1/(x-1)^2\r
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Algebra.Com's Answer #625944 by rothauserc(4718) $\"\"$ $\"About$

You can put this solution on YOUR website!
f(x) = 1 / (x-1)
\n" ); document.write( "f'(x) = ((1/(x+h-1) - 1/(x-1)) / h
\n" ); document.write( "f'(x) = (x-1) - (x+h-1) / h(x-1)(x+h-1)
\n" ); document.write( "f'(x) = -h / h(x-1)(x+h-1)
\n" ); document.write( "f'(x) = -1/(x-1)(x+h-1)
\n" ); document.write( "limit as h--->0 f'(x) = -1 / (x-1)^2
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