document.write( "Question 1160094: Find f ' (x) if f(x)=(4x-5)^3 x (5x^2+8)^3 \n" ); document.write( "
\n" ); document.write( "Another way....\r\n" ); document.write( "\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( "Use the product & chain rules:\r\n" ); document.write( "\n" ); document.write( "Product rule d(f(x)g(x))/dx = f(x)g'(x) + f'(x)g(x)\r\n" ); document.write( "\n" ); document.write( "Example: f'( ) = and then simplify if necessary. Yes, that simple! \r\n" ); document.write( "\n" ); document.write( "\"First times the derivative of the 2nd, plus the 2nd times the derivative of the first.\"\r\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "Chain rule (f(g(x)))' = f'(g(x))*g'(x) \r\n" ); document.write( "\n" ); document.write( "Example: f' ( ) = \r\n" ); document.write( "\n" ); document.write( "\"Derivative of the expression times the derivative of what's inside.\"\r\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "f'(x) = \r\n" ); document.write( "\n" ); document.write( "Factor out \n" ); document.write( " = \n" ); document.write( " = \r\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "