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Popular >

extreme 3x^4-4x^3+2

Solution

extreme points

3 x^{4} - 4 x^{3} + 2

Solution

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

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 0

into

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

Saddle (0, 2)

Plug

x = 1

into

3 x^{4} - 4 x^{3} + 2 : 1

Minimum (1, 1)

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

Popular Examples

range of x^2+5 range

x^{2} + 5

asymptotes of f(x)=(18-3x-x^2)/(x^2-9)asymptotes

f (x) = \frac{18 - 3 x - x ^{2}}{x ^{2} - 9}

asymptotes of f(x)=-3(2)^x asymptotes

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

inverse of (x+3)/(x-3)inverse

\frac{x + 3}{x - 3}

inverse of f(x)=1+sqrt(x-2)inverse

f (x) = 1 + x - 2

Frequently Asked Questions (FAQ)

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