Find all critical points of the function f(x)=x^3 + 5x^2- 4x - 4. If there are more than one, list in descending orderThe critical point(s) is(are) =

Respuesta :

The given function f(x) is defined by:

[tex]f(x)=x^3+5x^2-4x-4[/tex]

The critical points is found where f'(x)=0

[tex]f^{\prime}(x)=3x^2+10x-4[/tex]

When f'(x) = 0

[tex]3x^2+10x-4=0[/tex]

Solve the equation graphically:

Therefore, the critical points are at x = -3.694 and 0.361

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