What is the extreme 2x^3-6x^2-210x+7 ?

The extreme 2x^3-6x^2-210x+7 is Maximum(-5,657),Minimum(7,-1071)

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extreme 2x^3-6x^2-210x+7

extreme

Maximum (- 5, 657), Minimum (7, - 1071)

Solution steps

f^{'} (x) = 6 x^{2} - 12 x - 210

Find intervals:

Increasing

: - \infty < x < - 5,

Decreasing

: - 5 < x < 7,

Increasing

: 7 < x < \infty

Plug

x = - 5

into

2 x^{3} - 6 x^{2} - 210 x + 7 : 657

Maximum (- 5, 657)

Plug

x = 7

into

2 x^{3} - 6 x^{2} - 210 x + 7 : - 1071

Minimum (7, - 1071)

Maximum (- 5, 657), Minimum (7, - 1071)

What is the extreme 2x^3-6x^2-210x+7 ?
The extreme 2x^3-6x^2-210x+7 is Maximum(-5,657),Minimum(7,-1071)