What is the extreme 1512x-0.14x^3 ?

The extreme 1512x-0.14x^3 is Minimum(-60,-60480),Maximum(60,60480)

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extreme 1512x-0.14x^3

extreme points

1512 x - 0.14 x^{3}

Minimum (- 60, - 60480), Maximum (60, 60480)

Solution steps

f^{'} (x) = 1512 - 0.42 x^{2}

Find intervals:

Decreasing

: - \infty < x < - 60,

Increasing

: - 60 < x < 60,

Decreasing

: 60 < x < \infty

Plug

x = - 60

into

1512 x - 0.14 x^{3} : - 60480

Minimum (- 60, - 60480)

Plug

x = 60

into

1512 x - 0.14 x^{3} : 60480

Maximum (60, 60480)

Minimum (- 60, - 60480), Maximum (60, 60480)

- x^{2} - 1

f (x) = (x^{2} - 8)^{3} + 50

f (y) = x^{2} + x - 30

f, f \leq - \frac{3}{5} x + 200

f (x) = \frac{1}{25 - x ^{2}}

What is the extreme 1512x-0.14x^3 ?
The extreme 1512x-0.14x^3 is Minimum(-60,-60480),Maximum(60,60480)