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Popular Functions >

extreme f(x)=x^4+4x^2+1

Solution

extreme

Solution

Minimum (0, 1)

Solution steps

f^{'} (x) = 4 x^{3} + 8 x

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

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

Minimum (0, 1)

Graph

Popular Examples

extreme 150+8x^3+x^4

extreme f(x)=-3x^4+4x^3+72x^2

extreme f(x)=(x-6)/(x^2-16),0<= x<4

extreme x^2+2/x

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^4+4x^2+1 ?
The extreme f(x)=x^4+4x^2+1 is Minimum(0,1)