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![[tex]f(x) = \frac{x^3}{6x^2+k}[/tex]](images/latex/2d5bc55e0e23149228e6a668c1043ead9c014b10_0.png "[tex]f(x) = \frac{x^3}{6x^2+k}[/tex]")
tenga un minimo en ![[tex]x= -1[/tex]](images/latex/cdedde63885519e6605748028ecaf4cb98864228_0.png "[tex]x= -1[/tex]")
![[tex]f'(x) = \frac{3x^2.(6x^2+k) - x^3.12x}{(6x^2+k)^2}[/tex]](images/latex/019c93df70b45339c36289b3b53ace72ffc9c28e_0.png "[tex]f'(x) = \frac{3x^2.(6x^2+k) - x^3.12x}{(6x^2+k)^2}[/tex]")
![[tex]f'(x) = \frac{6x^4 + 3kx^2}{(36x^4+ 12kx^2 + k^2)}[/tex]](images/latex/ae46aa645b7d10f331c38b11de735155db7e625d_0.png "[tex]f'(x) = \frac{6x^4 + 3kx^2}{(36x^4+ 12kx^2 + k^2)}[/tex]")
![[tex] 0 = 6.(-1)^4 + 3k(-1)^2[/tex]](images/latex/448b40508162a3a5c24f1c9d2cc91e18abf9797c_0.png "[tex] 0 = 6.(-1)^4 + 3k(-1)^2[/tex]")
![[tex] 0 = 6 + 3k[/tex]](images/latex/3f42edf339a0c386d426bd546a46859ea2a65dba_0.png "[tex] 0 = 6 + 3k[/tex]")
![[tex] -2 = k[/tex]](images/latex/d247c1665205bfc749856f741afe2135a3eb1cd8_0.png "[tex] -2 = k[/tex]")
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