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Popular >

extreme y=6x^4+8x^3

Solution

extreme points

y = 6 x^{4} + 8 x^{3}

Solution

Minimum (- 1, - 2), Saddle (0, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 1

into

6 x^{4} + 8 x^{3} : - 2

Minimum (- 1, - 2)

Plug

x = 0

into

6 x^{4} + 8 x^{3} : 0

Saddle (0, 0)

Minimum (- 1, - 2), Saddle (0, 0)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme y=6x^4+8x^3 ?
The extreme y=6x^4+8x^3 is Minimum(-1,-2),Saddle(0,0)