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Popular >

extreme x^4+x^2

Solution

extreme points

x^{4} + x^{2}

Solution

Minimum (0, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

x^{4} + x^{2} : 0

Minimum (0, 0)

Graph

Popular Examples

extreme f(x)=x^7-4x^5+10 extreme points

f (x) = x^{7} - 4 x^{5} + 10

extreme f(x)=sqrt(x^2+16)extreme points

f (x) = x^{2} + 16

extreme f(x)=x^2-6x-9 extreme points

f (x) = x^{2} - 6 x - 9

extreme f(x)=2x^3+18x^2-42x+7,-7<= x<= 2 extreme points

f (x) = 2 x^{3} + 18 x^{2} - 42 x + 7, - 7 \leq x \leq 2

extreme f(x)=(x^2+2)/(x^2-25)extreme points

f (x) = \frac{x ^{2} + 2}{x ^{2} - 25}

Frequently Asked Questions (FAQ)

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