What is the extreme f(x)=3x^3+18x^2-45x+26 ?

The extreme f(x)=3x^3+18x^2-45x+26 is Maximum(-5,326),Minimum(1,2)

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extreme f(x)=3x^3+18x^2-45x+26

extreme points

f (x) = 3 x^{3} + 18 x^{2} - 45 x + 26

Maximum (- 5, 326), Minimum (1, 2)

Solution steps

f^{'} (x) = 9 x^{2} + 36 x - 45

Find intervals:

Increasing

: - \infty < x < - 5,

Decreasing

: - 5 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 5

into

3 x^{3} + 18 x^{2} - 45 x + 26 : 326

Maximum (- 5, 326)

Plug

x = 1

into

3 x^{3} + 18 x^{2} - 45 x + 26 : 2

Minimum (1, 2)

Maximum (- 5, 326), Minimum (1, 2)

f (x) = 4 x^{3} + 3 x^{2} - 12 x

2 x^{3} - 3 x^{2} - 36 x

f (x, y) = - 2 x - 5 y

f (x) = 2 x^{4} - 4 x^{2}

f (x) = 10 x - x^{2}

What is the extreme f(x)=3x^3+18x^2-45x+26 ?
The extreme f(x)=3x^3+18x^2-45x+26 is Maximum(-5,326),Minimum(1,2)