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Popular Functions >

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

Solution

extreme

Solution

Saddle (0, 2), Maximum (3, 29)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = 0

into

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

Saddle (0, 2)

Plug

x = 3

into

- x^{4} + 4 x^{3} + 2 : 29

Maximum (3, 29)

Saddle (0, 2), Maximum (3, 29)

Graph

Popular Examples

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intercepts of f(x)=2x+3

Frequently Asked Questions (FAQ)

What is the extreme-x^4+4x^3+2 ?
The extreme-x^4+4x^3+2 is Saddle(0,2),Maximum(3,29)