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Popular >

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

Solution

extreme points

f (x) = x^{4} - 4 x + 1

Solution

Minimum (1, - 2)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

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

Minimum (1, - 2)

Popular Examples

midpoint (-3,1),(5,-3)midpoint

(- 3, 1), (5, - 3)

inverse of y=52.947x^{0.16}inverse

y = 52.947 x^{0.16}

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f (x) = \frac{1 + x}{x ^{2} - 2 x - 8}

domain of x-sqrt(5-x)domain

x - 5 - x

intercepts of y=x^2-4 intercepts

y = x^{2} - 4

Frequently Asked Questions (FAQ)

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