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

The extreme f(x)=2x^3-150x+3 is Maximum(-5,503),Minimum(5,-497)

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

extreme

Maximum (- 5, 503), Minimum (5, - 497)

Solution steps

f^{'} (x) = 6 x^{2} - 150

Find intervals:

Increasing

: - \infty < x < - 5,

Decreasing

: - 5 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = - 5

into

2 x^{3} - 150 x + 3 : 503

Maximum (- 5, 503)

Plug

x = 5

into

2 x^{3} - 150 x + 3 : - 497

Minimum (5, - 497)

Maximum (- 5, 503), Minimum (5, - 497)

What is the extreme f(x)=2x^3-150x+3 ?
The extreme f(x)=2x^3-150x+3 is Maximum(-5,503),Minimum(5,-497)