What is the extreme f(x)=90x^2-0.2x^4 ?

The extreme f(x)=90x^2-0.2x^4 is Maximum(-15,10124.99999…),Minimum(0,0),Maximum(15,10124.99999…)

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extreme f(x)=90x^2-0.2x^4

extreme points

f (x) = 90 x^{2} - 0.2 x^{4}

Maximum (- 15, 10124.99999 \dots), Minimum (0, 0), Maximum (15, 10124.99999 \dots)

Solution steps

f^{'} (x) = 180 x - 0.8 x^{3}

Find intervals:

Increasing

: - \infty < x < - 15,

Decreasing

: - 15 < x < 0,

Increasing

: 0 < x < 15,

Decreasing

: 15 < x < \infty

Plug

x = - 15

into

90 x^{2} - 0.2 x^{4} : 10124.99999 \dots

Maximum (- 15, 10124.99999 \dots)

Plug

x = 0

into

90 x^{2} - 0.2 x^{4} : 0

Minimum (0, 0)

Plug

x = 15

into

90 x^{2} - 0.2 x^{4} : 10124.99999 \dots

Maximum (15, 10124.99999 \dots)

Maximum (- 15, 10124.99999 \dots), Minimum (0, 0), Maximum (15, 10124.99999 \dots)

f (x \cdot y) = 3 x^{2} - 4 x y + 3 y^{2} + 8 x - 17 y + 5

x^{3} - 16 x y + 4 y^{2} + 16 x^{2} - 12 x + 5

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

y = x^{3} - 3 x^{2} + 4 x - 4

f (x y) = x y

What is the extreme f(x)=90x^2-0.2x^4 ?
The extreme f(x)=90x^2-0.2x^4 is Maximum(-15,10124.99999…),Minimum(0,0),Maximum(15,10124.99999…)