What is the extreme f(x)=7+81x-3x^3 ?

The extreme f(x)=7+81x-3x^3 is Minimum(-3,-155),Maximum(3,169)

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extreme f(x)=7+81x-3x^3

extreme

Minimum (- 3, - 155), Maximum (3, 169)

Solution steps

f^{'} (x) = - 9 x^{2} + 81

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = - 3

into

7 + 81 x - 3 x^{3} : - 155

Minimum (- 3, - 155)

Plug

x = 3

into

7 + 81 x - 3 x^{3} : 169

Maximum (3, 169)

Minimum (- 3, - 155), Maximum (3, 169)

What is the extreme f(x)=7+81x-3x^3 ?
The extreme f(x)=7+81x-3x^3 is Minimum(-3,-155),Maximum(3,169)