document.write( "Question 1192775: Given that y = x + cosx , find dy/dx and the approximate change in y when x increases from π/6 to π/5. \n" ); document.write( "

Algebra.Com's Answer #824680 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
You didn't mention how to get there so I'll be straightforward.
\n" ); document.write( " $\"y=x%2Bcos%28x%29\"$
\n" ); document.write( " $\"dy%2Fdx=1-sin%28x%29\"$
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\n" ); document.write( "Approximate change? Why not exact change in y?
\n" ); document.write( " $\"y%5B2%5D=pi%2F5%2Bcos%28pi%2F5%29\"$
\n" ); document.write( " $\"y%5B1%5D=pi%2F6%2Bcos%28pi%2F6%29\"$
\n" ); document.write( "So the change in y would be,
\n" ); document.write( " $\"y%5B2%5D-y%5B1%5D=pi%2F5%2Bcos%28pi%2F5%29-%28pi%2F6%2Bcos%28pi%2F6%29%29\"$
\n" ); document.write( " $\"y%5B2%5D-y%5B1%5D=pi%2F5-pi%2F6%2Bcos%28pi%2F5%29-cos%28pi%2F6%29\"$
\n" ); document.write( "Approximate from there. \n" ); document.write( "

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