document.write( "Question 1190856: Find the derivative function (dy/dx) for y=1/(5-2x). \n" ); document.write( "
Algebra.Com's Answer #822601 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "y = 1/(5-2x)
\n" ); document.write( "y = (5-2x)^(-1)
\n" ); document.write( "dy/dx = -1*(5-2x)^(-2)*d/dx[5-2x]
\n" ); document.write( "dy/dx = -1*(5-2x)^(-2)*(-2)
\n" ); document.write( "dy/dx = 2(5-2x)^(-2)
\n" ); document.write( "dy/dx = 2/( (5-2x)^2 )\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Optionally you can expand out the denominator if you wanted to.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In the third step, I used the power rule going from y = x^n to dy/dx = nx^(n-1). I also used the chain rule to apply the derivative to the inner piece 5-2x.
\n" ); document.write( "\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );