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

;