Question

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) =

Answer 1

The given function f(x) is defined by:

`f(x)=x^3+5x^2-4x-4`

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

`f^(\prime)(x)=3x^2+10x-4`

When f'(x) = 0

`3x^2+10x-4=0`

Solve the equation graphically:

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

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