What is the extreme 120x-0.4x^4+700 ?

The extreme 120x-0.4x^4+700 is Maximum(\sqrt[3]{75},1079.54469…)

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extreme 120x-0.4x^4+700

extreme

Maximum (375, 1079.54469 \dots)

Solution steps

f^{'} (x) = - 1.6 x^{3} + 120

Find intervals:

Increasing

: - \infty < x < 375,

Decreasing

: 375 < x < \infty

Plug

x = 375

into

120 x - 0.4 x^{4} + 700 : 1079.54469 \dots

Maximum (375, 1079.54469 \dots)

What is the extreme 120x-0.4x^4+700 ?
The extreme 120x-0.4x^4+700 is Maximum(\sqrt[3]{75},1079.54469…)