document.write( "Question 1009038: Let $\"+f%28t%29+=+%284%29%2F%28t%5E2%29+\"$ Use the defintion of the derivative to determine f'(-1)
\n" ); document.write( "Let $\"+g%28x%29+=+1%2F%28x%2B1%29+\"$ Use the defintion of the derivative to determine g'(1) \r
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\n" ); document.write( "\n" ); document.write( "I know that the limit definition of the derivative is lim h->0 $\"+%28f%28x%2Bh%29-f%28x%29%29%2F%28h%29+\"$ just unsure how to apply it exactly.\r
\n" ); document.write( "\n" ); document.write( "Please show how this is done
\n" ); document.write( "Thank you \n" ); document.write( "

Algebra.Com's Answer #624594 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+f%28t%29+=+%284%29%2F%28t%5E2%29+\"$ Use the definition of the derivative to determine f'(-1)
\n" ); document.write( " $\"+f%28t%29+=+%284%29%2F%28t%5E2%29+=+4t%5E%28-2%29+\"$
\n" ); document.write( "f'(t) = $\"-2%2A4t%5E%28-3%29\"$
\n" ); document.write( "f'(-1) = -8*(-1)^(-3)
\n" ); document.write( "= 8
\n" ); document.write( "============
\n" ); document.write( "Let $\"+g%28x%29+=+1%2F%28x%2B1%29+\"$ Use the definition of the derivative to determine g'(1)
\n" ); document.write( " $\"+g%28x%29+=+1%2F%28x%2B1%29+\"$
\n" ); document.write( " $\"+g%28x%29+=+%28x%2B1%29%5E%28-1%29+\"$
\n" ); document.write( "g'(x) = $\"-1%2A%28x%2B1%29%5E%28-2%29\"$
\n" ); document.write( "g'(-1) = $\"-1%2A2%5E%28-2%29\"$
\n" ); document.write( "= -1/4
\n" ); document.write( " \n" ); document.write( "

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