document.write( "Question 1180614: f(x) =-3e^x+3 + e^1 find f'(0) \n" ); document.write( "
Algebra.Com's Answer #810334 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29=+-3e%5E%28x%2B3%29+%2B+e%5E1\"\r
\n" ); document.write( "\n" ); document.write( "Find \"f\"'\"%280%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%28-3e%5E%28x%2B3%29+%2B+e%5E1%29\".......apply the Sum/Difference Rule\r
\n" ); document.write( "\n" ); document.write( "=\"%28d%2Fdx%29%28-3e%5E%28x%2B3%29+%29+%2B+%28d%2Fdx%29%28e%5E1%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"-3e%5E%28x%2B3%29%2B+0\"\r
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\n" ); document.write( "\n" ); document.write( "=\"-3e%5E%28x%2B3%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"f\"'\"%28x%29+=+-3e%5E%28x%2B3%29\"\r
\n" ); document.write( "\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( "\"f\"'\"%280%29+=+-3e%5E%280%2B3%29\"
\n" ); document.write( "\"f\"'\"%280%29+=+-3e%5E3\"->exact
\n" ); document.write( "\"f\"'\"%280%29+=+-60.26\"->approximately\r
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