document.write( "Question 1180615: f(x)= 10e^x-ex^e. Find f'(3) \n" ); document.write( "
Algebra.Com's Answer #810333 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29=+10e%5Ex-e%2Ax%5Ee\"\r
\n" ); document.write( "\n" ); document.write( "Find \"f\"'\"%283%29\"\r
\n" ); document.write( "\n" ); document.write( "first find \"f\"'\"%28x%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28d%2Fdx%29%2810e%5Ex-e%2Ax%5Ee%29\".......apply the Sum/Difference Rule\r
\n" ); document.write( "\n" ); document.write( "=\"%28d%2Fdx%29%2810e%5Ex%29-%28d%2Fdx%29%28e%2Ax%5Ee%29\"....factor constant out\r
\n" ); document.write( "\n" ); document.write( "=\"10%28d%2Fdx%29%28e%5Ex%29-e%28d%2Fdx%29%28x%5Ee%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"10e%5Ex-e%5E2%2Ax%5E%28e-1%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"f\"'\"%28x%29+=+10e%5Ex+-+e%5E2%2Ax%5E%28e+-+1%29\"\r
\n" ); document.write( "\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( "\"f\"'\"%283%29+=+10e%5E3+-+e%5E2%2A3%5E%28e+-+1%29\"
\n" ); document.write( "\"f\"'\"%283%29+=+152.05\"\r
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