Asked by Sarah
Find the derivative. F(x)=x^4+x^2+1/(x^2+1)
Answers
Answered by
Damon
I have a hunch you mean:
(x^4+x^2+1)/(x^2+1)
(bottom d top - top d bottom)/bottom squared
[ (x^2+1)(4x^3+2x) -(x^4+x^2+1)(2x)]/(x^2+1)^2
[4x^5+6x^3+2x-2x^5+2x^3+2x]/(x^4+2x^2+1)
[2x^5+8x^3+4x]/(x^4+2x^2+1
(x^4+x^2+1)/(x^2+1)
(bottom d top - top d bottom)/bottom squared
[ (x^2+1)(4x^3+2x) -(x^4+x^2+1)(2x)]/(x^2+1)^2
[4x^5+6x^3+2x-2x^5+2x^3+2x]/(x^4+2x^2+1)
[2x^5+8x^3+4x]/(x^4+2x^2+1
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