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Grade 11Differential Calculus

Find d (x4+x2+1) / x2+x+1
dx
Please tell me how do this question.

Profile image of Kunal Sharma
10 Years agoGrade 11
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2 Answers

Profile image of Ajay
10 Years ago
Numerator is divisible by denominator .
 
On dividing numerator by denominator the it is reduced to x2 -x +1
 
differentiating this we get 2x-1 as answer
Profile image of SREEKANTH
10 Years ago
on dividing numerator with denominator:(x^4+x^2+1)/(x^2+x+1)=
                                                                                               =((x^2+x+1)(x^2-x+1)+1)/(x^2+x+1)
                                                                                               =(x^2-x+1)+1/(x^2+x+1)
on differentiating the resulted equation we will get 2x-1+(-2x-1)/(x^2+x+1)^2