What is the extreme f(x)=2x^3-x^2-20x+10 ?

The extreme f(x)=2x^3-x^2-20x+10 is Maximum(-5/3 , 845/27),Minimum(2,-18)

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extreme f(x)=2x^3-x^2-20x+10

extreme

Maximum (- \frac{5}{3}, \frac{845}{27}), Minimum (2, - 18)

Solution steps

f^{'} (x) = 6 x^{2} - 2 x - 20

Find intervals:

Increasing

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

Decreasing

: - \frac{5}{3} < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - \frac{5}{3}

into

2 x^{3} - x^{2} - 20 x + 10 : \frac{845}{27}

Maximum (- \frac{5}{3}, \frac{845}{27})

Plug

x = 2

into

2 x^{3} - x^{2} - 20 x + 10 : - 18

Minimum (2, - 18)

Maximum (- \frac{5}{3}, \frac{845}{27}), Minimum (2, - 18)

What is the extreme f(x)=2x^3-x^2-20x+10 ?
The extreme f(x)=2x^3-x^2-20x+10 is Maximum(-5/3 , 845/27),Minimum(2,-18)