document.write( "Question 980208: good day\r
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document.write( "sorry could not find Calculus in the list. It's differentiation.\r
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document.write( "Calculate the turning points\r
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document.write( "3x³ - 6x² -9 = 0\r
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document.write( "The answers are (0:9) and (4/3:-12.55)\r
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Algebra.Com's Answer #601397 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "y = 3x^3 - 6x^2 - 9 \n" ); document.write( "dy/dx = 9x^2 - 12x \n" ); document.write( "dy/dx = 0 \n" ); document.write( "9x^2 - 12x = 0 \n" ); document.write( "3x(3x - 4) = 0 \n" ); document.write( "3x = 0 \n" ); document.write( "x = 0 \n" ); document.write( "Substituting x = 0 \n" ); document.write( "into f(x) \n" ); document.write( "3x^3 - 6x^2 - 9 \n" ); document.write( "3(0)^3 - 6(0)^2 - 9 \n" ); document.write( "= -9 \n" ); document.write( "Turning point (0, -9) \n" ); document.write( "....... \n" ); document.write( "(3x - 4) = 0 \n" ); document.write( "x = 4/3 \n" ); document.write( "Substituting x = 4/3 \n" ); document.write( "into f(x) \n" ); document.write( "3x^3 - 6x^2 - 9 \n" ); document.write( "3(4/3)^3 - 6(4/3)^2 - 9 \n" ); document.write( "- 12.55 \n" ); document.write( "Turning point (4/3, -12.55) \n" ); document.write( "Hope this helps:-) \n" ); document.write( " |