What is the extreme-15x^4+120x^2 ?

The extreme-15x^4+120x^2 is Maximum(-2,240),Minimum(0,0),Maximum(2,240)

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extreme-15x^4+120x^2

extreme points

- 15 x^{4} + 120 x^{2}

Maximum (- 2, 240), Minimum (0, 0), Maximum (2, 240)

Solution steps

f^{'} (x) = - 60 x^{3} + 240 x

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Increasing

: 0 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = - 2

into

- 15 x^{4} + 120 x^{2} : 240

Maximum (- 2, 240)

Plug

x = 0

into

- 15 x^{4} + 120 x^{2} : 0

Minimum (0, 0)

Plug

x = 2

into

- 15 x^{4} + 120 x^{2} : 240

Maximum (2, 240)

Maximum (- 2, 240), Minimum (0, 0), Maximum (2, 240)

3 (x - 2)^{2} (x - 1) + (x - 2)^{2}

f (x, y) = \frac{3 x - y}{4}

\frac{x ^{3} + 8}{x}

P (x, y) = 2 x + 3 y

e^{x y}

What is the extreme-15x^4+120x^2 ?
The extreme-15x^4+120x^2 is Maximum(-2,240),Minimum(0,0),Maximum(2,240)