document.write( "Question 1158582: *True OR false*\r
\n" ); document.write( "\n" ); document.write( "IF f’(x) =g’(x) then
\n" ); document.write( "f(x) - g(x) = zero
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Algebra.Com's Answer #781538 by MathLover1(20849) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "IF $\"f\"$ ’ $\"%28x%29\"$ = $\"g\"$ ’ $\"%28x%29\"$ then
\n" ); document.write( " $\"f%28x%29+-+g%28x%29+=+zero\"$ => $\"false\"$ \r
\n" ); document.write( "\n" ); document.write( "explanation:\r
\n" ); document.write( "\n" ); document.write( "->according to mean value theorem: If $\"f\"$ ’ $\"%28x%29\"$ = $\"g\"$ ’ $\"%28x%29\"$ for all $\"x\"$ in an interval ( $\"a\"$ , $\"b\"$ ) then in this interval we have
\n" ); document.write( " $\"f%28x%29=g%28x%29%2Bc\"$ where $\"c\"$ is $\"some\"$ $\"+constant\"$ .\r
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\n" ); document.write( "\n" ); document.write( "so, $\"f\"$ ’ $\"%28x%29\"$ = $\"g\"$ ’ $\"%28x%29\"$ then $\"f%28x%29+-+g%28x%29+\"$ = some constant $\"C\"$ would be true \r
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