What is the extreme f(x)=2x^3-33x^2+144x ?

The extreme f(x)=2x^3-33x^2+144x is Maximum(3,189),Minimum(8,64)

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extreme f(x)=2x^3-33x^2+144x

extreme points

f (x) = 2 x^{3} - 33 x^{2} + 144 x

Maximum (3, 189), Minimum (8, 64)

Solution steps

f^{'} (x) = 6 x^{2} - 66 x + 144

Find intervals:

Increasing

: - \infty < x < 3,

Decreasing

: 3 < x < 8,

Increasing

: 8 < x < \infty

Plug

x = 3

into

2 x^{3} - 33 x^{2} + 144 x : 189

Maximum (3, 189)

Plug

x = 8

into

2 x^{3} - 33 x^{2} + 144 x : 64

Minimum (8, 64)

Maximum (3, 189), Minimum (8, 64)

f (x, y) = \frac{( x + y ) ^{2}}{2} - 2 ln (x y)

f (x, y) = ∣ x y ∣

f (x) = x^{3} - \frac{3}{2} x^{2}, - 3 \leq x \leq 2

f (x) = 5 - 2 x

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

What is the extreme f(x)=2x^3-33x^2+144x ?
The extreme f(x)=2x^3-33x^2+144x is Maximum(3,189),Minimum(8,64)