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

The extreme f(x)=5x^3-60x+5 is Maximum(-2,85),Minimum(2,-75)

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

extreme points

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

Maximum (- 2, 85), Minimum (2, - 75)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

5 x^{3} - 60 x + 5 : 85

Maximum (- 2, 85)

Plug

x = 2

into

5 x^{3} - 60 x + 5 : - 75

Minimum (2, - 75)

Maximum (- 2, 85), Minimum (2, - 75)

\frac{5 x}{x ^{2} - 4}

\frac{x ^{2} + 3 x}{x - 1}

f (x) = \frac{x}{x ^{2} + 12 x + 32}

f (x) = 18 x + 3 x^{2} - 4 x^{3}

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

What is the extreme f(x)=5x^3-60x+5 ?
The extreme f(x)=5x^3-60x+5 is Maximum(-2,85),Minimum(2,-75)