- #1

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so the question is to find the critical values for this function

i know that to find the critical values you have to take the derivative of the function. to do that you have to do the quotient rule

so you get

f'(x) = (x^2+x+1)(1)-(1x+10)(2x+1)/(x^2+x+1)^2

after cleaning it up i got (-x^2-20x-9)/(x^2+x+1)^2

so you set the numerator equal to 0 and solve it using the quadratic equation so after that you get

(20 +- sqrt (400 - 36))/-2

after simplifying i got

-10 +- sqrt364

but the website says that is wrong

where did i go wrong???