What is the extreme f(x)=x^3-2x^2-15x+3 ?

The extreme f(x)=x^3-2x^2-15x+3 is Maximum(-5/3 , 481/27),Minimum(3,-33)

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extreme f(x)=x^3-2x^2-15x+3

extreme

Maximum (- \frac{5}{3}, \frac{481}{27}), Minimum (3, - 33)

Solution steps

f^{'} (x) = 3 x^{2} - 4 x - 15

Find intervals:

Increasing

: - \infty < x < - \frac{5}{3},

Decreasing

: - \frac{5}{3} < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - \frac{5}{3}

into

x^{3} - 2 x^{2} - 15 x + 3 : \frac{481}{27}

Maximum (- \frac{5}{3}, \frac{481}{27})

Plug

x = 3

into

x^{3} - 2 x^{2} - 15 x + 3 : - 33

Minimum (3, - 33)

Maximum (- \frac{5}{3}, \frac{481}{27}), Minimum (3, - 33)

What is the extreme f(x)=x^3-2x^2-15x+3 ?
The extreme f(x)=x^3-2x^2-15x+3 is Maximum(-5/3 , 481/27),Minimum(3,-33)