What is the critical x^4-x^3-6x^2-2x-1 ?

The critical x^4-x^3-6x^2-2x-1 is x\approx-1.28364…,x\approx-0.17625…,x=2.20990…

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critical x^4-x^3-6x^2-2x-1

critical points

x^{4} - x^{3} - 6 x^{2} - 2 x - 1

x \approx - 1.28364 \dots, x \approx - 0.17625 \dots, x = 2.20990 \dots

Solution steps

x^{4} - x^{3} - 6 x^{2} - 2 x - 1

Find where

f^{'} (x)

is equal to zero or undefined

x \approx - 1.28364 \dots, x \approx - 0.17625 \dots, x = 2.20990 \dots

Identify critical points not in

f (x)

domain

Domain of

x^{4} - x^{3} - 6 x^{2} - 2 x - 1 : - \infty < x < \infty

All critical points are in domain

x \approx - 1.28364 \dots, x \approx - 0.17625 \dots, x = 2.20990 \dots

f (x) = \frac{x ^{2}}{2} - 4 x + 7

x^{2} + 4 x - 2

f (x) = \frac{12 x ^{4}}{( 3 x + 1 ) ^{4}}

f (x) = 3 sin^{2} (x)

f (x) = \frac{3 a ^{2} + 5 a}{2 a - 3}

What is the critical x^4-x^3-6x^2-2x-1 ?
The critical x^4-x^3-6x^2-2x-1 is x\approx-1.28364…,x\approx-0.17625…,x=2.20990…