What is the extreme f(x)=x^3-9x^2+15x-5 ?

The extreme f(x)=x^3-9x^2+15x-5 is Maximum(1,2),Minimum(5,-30)

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extreme f(x)=x^3-9x^2+15x-5

extreme points

f (x) = x^{3} - 9 x^{2} + 15 x - 5

Maximum (1, 2), Minimum (5, - 30)

Solution steps

f^{'} (x) = 3 x^{2} - 18 x + 15

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = 1

into

x^{3} - 9 x^{2} + 15 x - 5 : 2

Maximum (1, 2)

Plug

x = 5

into

x^{3} - 9 x^{2} + 15 x - 5 : - 30

Minimum (5, - 30)

Maximum (1, 2), Minimum (5, - 30)

What is the extreme f(x)=x^3-9x^2+15x-5 ?
The extreme f(x)=x^3-9x^2+15x-5 is Maximum(1,2),Minimum(5,-30)