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Popular >

extreme 3x^4+8x^3

Solution

extreme points

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

Solution

Minimum (- 2, - 16), Saddle (0, 0)

Solution steps

f^{'} (x) = 12 x^{3} + 24 x^{2}

Find intervals:

Decreasing

: - \infty < x < - 2,

Increasing

: - 2 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 2

into

3 x^{4} + 8 x^{3} : - 16

Minimum (- 2, - 16)

Plug

x = 0

into

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

Saddle (0, 0)

Minimum (- 2, - 16), Saddle (0, 0)

Popular Examples

critical x^2+5x+6 critical points

x^{2} + 5 x + 6

asymptotes of f(x)=(-2x+5)/(x-2)asymptotes

f (x) = \frac{- 2 x + 5}{x - 2}

inverse of ln(x/(x-2))inverse

ln (\frac{x}{x - 2})

domain of f(x)=2x^2+4x-5 domain

f (x) = 2 x^{2} + 4 x - 5

symmetry (x-1)/(x^2)symmetry

\frac{x - 1}{x ^{2}}

Frequently Asked Questions (FAQ)

What is the extreme 3x^4+8x^3 ?
The extreme 3x^4+8x^3 is Minimum(-2,-16),Saddle(0,0)