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Popular >

extreme 190+8x^3+x^4

Solution

extreme points

190 + 8 x^{3} + x^{4}

Solution

Minimum (- 6, - 242), Saddle (0, 190)

Solution steps

f^{'} (x) = 4 x^{3} + 24 x^{2}

Find intervals:

Decreasing

: - \infty < x < - 6,

Increasing

: - 6 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 6

into

190 + 8 x^{3} + x^{4} : - 242

Minimum (- 6, - 242)

Plug

x = 0

into

190 + 8 x^{3} + x^{4} : 190

Saddle (0, 190)

Minimum (- 6, - 242), Saddle (0, 190)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme 190+8x^3+x^4 ?
The extreme 190+8x^3+x^4 is Minimum(-6,-242),Saddle(0,190)