What is the extreme f(x)=7+54x-2x^3 ?

The extreme f(x)=7+54x-2x^3 is Minimum(-3,-101),Maximum(3,115)

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extreme f(x)=7+54x-2x^3

extreme points

f (x) = 7 + 54 x - 2 x^{3}

Minimum (- 3, - 101), Maximum (3, 115)

Solution steps

f^{'} (x) = - 6 x^{2} + 54

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = - 3

into

7 + 54 x - 2 x^{3} : - 101

Minimum (- 3, - 101)

Plug

x = 3

into

7 + 54 x - 2 x^{3} : 115

Maximum (3, 115)

Minimum (- 3, - 101), Maximum (3, 115)

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

y = 6 x - ln (6 x)

f (x) = 7 + 81 x - 3 x^{3}

f (x, y) = 7 x - 8 y + 2 x y - x^{2} + y^{1}

f (x) = \frac{6}{x}

What is the extreme f(x)=7+54x-2x^3 ?
The extreme f(x)=7+54x-2x^3 is Minimum(-3,-101),Maximum(3,115)