What is the extreme f(x)=2x^3-30x^2+144x-11 ?

The extreme f(x)=2x^3-30x^2+144x-11 is Maximum(4,213),Minimum(6,205)

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extreme f(x)=2x^3-30x^2+144x-11

extreme points

f (x) = 2 x^{3} - 30 x^{2} + 144 x - 11

Maximum (4, 213), Minimum (6, 205)

Solution steps

f^{'} (x) = 6 x^{2} - 60 x + 144

Find intervals:

Increasing

: - \infty < x < 4,

Decreasing

: 4 < x < 6,

Increasing

: 6 < x < \infty

Plug

x = 4

into

2 x^{3} - 30 x^{2} + 144 x - 11 : 213

Maximum (4, 213)

Plug

x = 6

into

2 x^{3} - 30 x^{2} + 144 x - 11 : 205

Minimum (6, 205)

Maximum (4, 213), Minimum (6, 205)

f (x) = \frac{- 5 x - 4}{6 x ^{2} + 3}

f (x) = 24 sin (3 x)

y = 0.25 x^{4} - (\frac{1}{3}) x^{3}

6 x

f (x, y) = 3 x^{2} + 2 y^{2} - 6 x + 8 y

What is the extreme f(x)=2x^3-30x^2+144x-11 ?
The extreme f(x)=2x^3-30x^2+144x-11 is Maximum(4,213),Minimum(6,205)