document.write( "Question 824346: Find and simplify the difference quotient of f, f(x+h)-f(x) divided by h, h=0, for the function f(x) = (1/2)x.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #496340 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Find and simplify the difference quotient of f,
\n" ); document.write( "f(x+h)-f(x) divided by h, h#0, for the function f(x) = (1/2)x
\n" ); document.write( "----
\n" ); document.write( "Note: I changed your h=0 to h#0.
\n" ); document.write( "Why? You cannot divide by zero.
\n" ); document.write( "-----
\n" ); document.write( "f(x+h) = (1/2)(x+h) = (1/2)x + (1/2)h
\n" ); document.write( "f(x) = (1/2)x
\n" ); document.write( "----
\n" ); document.write( "f(x+h)-f(x) = (1/2)h
\n" ); document.write( "-----
\n" ); document.write( "[f(x+h)-f(x)]/h = [(1/2)h]/h = 1/2
\n" ); document.write( "======================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "==============\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );