What is the extreme f(x)=-5x^3+60x+2 ?

The extreme f(x)=-5x^3+60x+2 is Minimum(-2,-78),Maximum(2,82)

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extreme f(x)=-5x^3+60x+2

extreme points

f (x) = - 5 x^{3} + 60 x + 2

Minimum (- 2, - 78), Maximum (2, 82)

Solution steps

f^{'} (x) = - 15 x^{2} + 60

Find intervals:

Decreasing

: - \infty < x < - 2,

Increasing

: - 2 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = - 2

into

- 5 x^{3} + 60 x + 2 : - 78

Minimum (- 2, - 78)

Plug

x = 2

into

- 5 x^{3} + 60 x + 2 : 82

Maximum (2, 82)

Minimum (- 2, - 78), Maximum (2, 82)

f (x) = - 5 x^{3} + 60 x + 3

f (x) = x^{3} - 5 x^{2} - 8 x + 2

f (x, y) = 9 x^{2} + x y + 10 y^{2}

f (x, y) = x^{2} + y^{2} - 2 y + 1

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

What is the extreme f(x)=-5x^3+60x+2 ?
The extreme f(x)=-5x^3+60x+2 is Minimum(-2,-78),Maximum(2,82)