What is the extreme f(x)=x^3-27x+3 ?

The extreme f(x)=x^3-27x+3 is Maximum(-3,57),Minimum(3,-51)

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extreme f(x)=x^3-27x+3

extreme points

f (x) = x^{3} - 27 x + 3

Maximum (- 3, 57), Minimum (3, - 51)

Solution steps

f^{'} (x) = 3 x^{2} - 27

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

x^{3} - 27 x + 3 : 57

Maximum (- 3, 57)

Plug

x = 3

into

x^{3} - 27 x + 3 : - 51

Minimum (3, - 51)

Maximum (- 3, 57), Minimum (3, - 51)

g (x) = \frac{7 x + 18}{2}

f (x) = - \frac{3}{- x - 3} + 2

5 x - 9

\frac{6 x}{x - 19}

x^{2} + 6

What is the extreme f(x)=x^3-27x+3 ?
The extreme f(x)=x^3-27x+3 is Maximum(-3,57),Minimum(3,-51)