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Popular >

extreme x^4-4x^3+6

Solution

extreme points

x^{4} - 4 x^{3} + 6

Solution

Saddle (0, 6), Minimum (3, - 21)

Solution steps

f^{'} (x) = 4 x^{3} - 12 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 0

into

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

Saddle (0, 6)

Plug

x = 3

into

x^{4} - 4 x^{3} + 6 : - 21

Minimum (3, - 21)

Saddle (0, 6), Minimum (3, - 21)

Popular Examples

inverse of f(x)=(x+3)inverse

f (x) = (x + 3)

intercepts of f(x)=2x^2-4 intercepts

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

inverse of f(x)=2x^2-3x+1 inverse

f (x) = 2 x^{2} - 3 x + 1

extreme 3x^{2/3}-x extreme points

3 x^{\frac{2}{3}} - x

domain of (5x)/(6x-1)domain

\frac{5 x}{6 x - 1}

Frequently Asked Questions (FAQ)

What is the extreme x^4-4x^3+6 ?
The extreme x^4-4x^3+6 is Saddle(0,6),Minimum(3,-21)