What is the extreme f(x)=2x^3-6x^2-210x+7 ?

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

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extreme f(x)=2x^3-6x^2-210x+7

extreme points

f (x) = 2 x^{3} - 6 x^{2} - 210 x + 7

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)

f (x) = - 3 x^{5} + 5 x^{3} + 1

f (x) = - 2 + x - x^{2}

f (x, y) = x^{2} + y^{2} + 4 x - 2 y + 6

f (x) = \frac{4860}{x} + 18 x + 724924

f (x) = 3 x 4 - 3 x

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