document.write( "Question 1131247: Find the derivative using increment steps:
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document.write( "(X^2 + 2)(3x -7) \n" );
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Algebra.Com's Answer #748002 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! f(x)=(x^2+2)(3x-7)\r \n" ); document.write( "\n" ); document.write( "the above foiled out is 3x^3-7x^2+6x-14 \n" ); document.write( "3(x+h)^3-7(x+h)^2+6(x+h)-14 \n" ); document.write( "3(x^3+3x^2h+3xh^2+h^3)-7x^2-14xh-7h^2+6x+6h-14 \n" ); document.write( "3x^3+9x^2h+9xh^2+3h^3-7x^2-14xh-7h^2+6x+6h-14 \n" ); document.write( "subtract 3x^3-7x^2+6x-14 \n" ); document.write( "f(x+h)-f(x)=9x^2h+9xh^2+3h^3-14xh-7h^2+6h \n" ); document.write( "divide by h \n" ); document.write( "f'(x)=9x^2+9xh+3h^2-14x-7h+6 \n" ); document.write( "let h go to 0. \n" ); document.write( "f'(x)=9x^2-14x+6\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the derivative is 9x^2-14x+6\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |