What is the extreme 2x^3+6x^2-90x ?

The extreme 2x^3+6x^2-90x is Maximum(-5,350),Minimum(3,-162)

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extreme 2x^3+6x^2-90x

extreme

Maximum (- 5, 350), Minimum (3, - 162)

Solution steps

f^{'} (x) = 6 x^{2} + 12 x - 90

Find intervals:

Increasing

: - \infty < x < - 5,

Decreasing

: - 5 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 5

into

2 x^{3} + 6 x^{2} - 90 x : 350

Maximum (- 5, 350)

Plug

x = 3

into

2 x^{3} + 6 x^{2} - 90 x : - 162

Minimum (3, - 162)

Maximum (- 5, 350), Minimum (3, - 162)

What is the extreme 2x^3+6x^2-90x ?
The extreme 2x^3+6x^2-90x is Maximum(-5,350),Minimum(3,-162)