What is the extreme f(x)=3x^2-150ln(x) ?

The extreme f(x)=3x^2-150ln(x) is Minimum(5,75-150ln(5))

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extreme f(x)=3x^2-150ln(x)

extreme points

f (x) = 3 x^{2} - 150 ln (x)

Minimum (5, 75 - 150 ln (5))

Solution steps

f^{'} (x) = 6 x - \frac{150}{x}

Find intervals:

Decreasing

: 0 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = 5

into

3 x^{2} - 150 ln (x) : 75 - 150 ln (5)

Minimum (5, 75 - 150 ln (5))

F (x, y) = x^{3} - 6 x y + 3 y^{2} + 1

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

f (x) = 200 + 8 x^{3} + x^{4}

f (x) = 2 x^{3} - 3 x^{2} - 36 x + 24

f (x) = x^{3} - 6 x^{2} + 9 x + 15

What is the extreme f(x)=3x^2-150ln(x) ?
The extreme f(x)=3x^2-150ln(x) is Minimum(5,75-150ln(5))