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Popular >

extreme 6x^4+8x^3

Solution

extreme points

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)

Popular Examples

inverse of 1/(sqrt(x))inverse

\frac{1}{x}

domain of f(x)=e^{sqrt(x^3-6x^2+8x)}domain

f (x) = e^{x^{3} - 6 x^{2} + 8 x}

midpoint (8,-4),(12,2)midpoint

(8, - 4), (12, 2)

asymptotes of f(x)=3xy-2x-4y-3=0 asymptotes

f (x) = 3 x y - 2 x - 4 y - 3 = 0

range of cos^2(x)+2 range

cos^{2} (x) + 2

Frequently Asked Questions (FAQ)

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