What is the extreme f(x)=x^3-15x^2+75x-1 ?

The extreme f(x)=x^3-15x^2+75x-1 is Saddle(5,124)

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extreme f(x)=x^3-15x^2+75x-1

extreme points

f (x) = x^{3} - 15 x^{2} + 75 x - 1

Saddle (5, 124)

Solution steps

f^{'} (x) = 3 x^{2} - 30 x + 75

Find intervals:

Increasing

: - \infty < x < 5,

Increasing

: 5 < x < \infty

Plug

x = 5

into

x^{3} - 15 x^{2} + 75 x - 1 : 124

Saddle (5, 124)

\frac{1}{4} x^{2} - 2 x + 15

\frac{x + 4}{x ^{2} + 25}

12 x^{5} + 15 x^{4} - 240 x^{3} + 1

f (x) = 4 x - 5 y = 24

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

What is the extreme f(x)=x^3-15x^2+75x-1 ?
The extreme f(x)=x^3-15x^2+75x-1 is Saddle(5,124)