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Popular Functions >

extreme 3x^4-4x^3+1

Solution

extreme

Solution

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

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} + 1 : 1

Saddle (0, 1)

Plug

x = 1

into

3 x^{4} - 4 x^{3} + 1 : 0

Minimum (1, 0)

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

Graph

Popular Examples

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extreme xsqrt(9-x^2)

extreme f(x,y)=(2+x)/(sqrt(x-y^2))

Frequently Asked Questions (FAQ)

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