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You can put this solution on YOUR website!
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document.write( "Hi, there--\r\n" );
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document.write( "The Problem: \r\n" );
document.write( "Find and simplify the difference quotient of f,\r\n" );
document.write( "f(x) = x^2+ 8x + 5 \r\n" );
document.write( "F(x+h)-F(x)\r\n" );
document.write( " all over h\r\n" );
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document.write( "A Solution:\r\n" );
document.write( "Difference quotients can seem VERY tedious. In addition, it is easy to make a computation \r\n" );
document.write( "error when you simplify them. When I first learned about difference quotients, my teacher \r\n" );
document.write( "didn't tell me why they were such a big deal. I now know that they are helpful later in \r\n" );
document.write( "understanding and calculating derivatives in calculus. (I personally don't mind doing tedious \r\n" );
document.write( "math zoo much if I know it will be helpful later.) Anyway...\r\n" );
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document.write( "f(x) = x^2 + 8x + 5\r\n" );
document.write( "f(x+h) = (x+h)^2 + 8(x+h) + 5\r\n" );
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document.write( "[f(x+h) - f(x)]/h = {[(x+h)^2 + 8(x+h) + 5] - [x^2 + 8x + 5]}/h\r\n" );
document.write( " = {[x^2 + 2xh + h^2 +8x + 8h + 5] - [x^2 + 8x + 5]}/h\r\n" );
document.write( " = {x^2 + 2xh + h^2 +8x + 8h + 5 - x^2 - 8x - 5]}/h\r\n" );
document.write( " = {2xh + h^2 + 8h]}/h\r\n" );
document.write( " = 2x + h + 8\r\n" );
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document.write( "If this is unclear, or you still have questions, feel free to email.\r\n" );
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document.write( "Mrs.Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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