document.write( "Question 983973: How is the derivative AND the integral of e^x equal to itself? This just baffles me. \n" ); document.write( "

Algebra.Com's Answer #604763 by Timnewman(323) $\"\"$ $\"About$

You can put this solution on YOUR website!
Hi dear,
\n" ); document.write( "Recall that
\n" ); document.write( " $\"e%5Ex=1%2Bx%2B%28x%5E%282%29%29%2F2%21%2B%28x%5E%283%29%2F3%21%29%2B%28x%5E%284%29%2F4%21%29\"$
\n" ); document.write( "If you are to diffefentiate e^x,
\n" ); document.write( "you will notice that it will repeat $\"1%2Bx%2B%28x%5E%282%29%2F2%21%29%2B%28x%5E%283%29%2F3%21%29\"$
\n" ); document.write( "and this makes it to remain as e^x.
\n" ); document.write( "Also on integrating,it will remain thesame.
\n" ); document.write( "That is why the drivative of e^x is thesame as the integral of it.
\n" ); document.write( "Please,try differentiate the above to see it your self.
\n" ); document.write( "IS THAT OK?,
\n" ); document.write( "Best regards,
\n" ); document.write( "Timnewman. \n" ); document.write( "

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