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Determine the critical points of the following function on \[R\]
\[f(x)=x^{4}+2x^{3}2x^{2}+1\]
 one year ago
 one year ago
Determine the critical points of the following function on \[R\] \[f(x)=x^{4}+2x^{3}2x^{2}+1\]
 one year ago
 one year ago

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akash_809Best ResponseYou've already chosen the best response.1
\[f'(x)=2x+6x^24x=6x^22x=0>\]
 one year ago

akash_809Best ResponseYou've already chosen the best response.1
can u solve for x now
 one year ago

tunahanBest ResponseYou've already chosen the best response.0
i am sorrry i wrote wrong..i edit the question just a minute pls
 one year ago

akash_809Best ResponseYou've already chosen the best response.1
do it the sameway differentiate and equate to 0 and solve for x
 one year ago

tunahanBest ResponseYou've already chosen the best response.0
\[f'(x) = 4x^{3}+6x^{2}4x\] \[f''(x) = 12x^{2}+12x4\] and now ?
 one year ago

akash_809Best ResponseYou've already chosen the best response.1
\[4x^3+6x^24x=0..x(4x^2+6x4)=0......solve\]
 one year ago

tunahanBest ResponseYou've already chosen the best response.0
there is in solution following numbers \[x_{1}=\frac{3\sqrt{15}}{4} \] \[x_{2}=0\] \[x_{3}=\frac{3+\sqrt{15}}{4}\] but i dont understand how its possible to find this solutions...
 one year ago
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