What is the critical (-x^3-x+5)/(2x^3+3x^2-7) ?

The critical (-x^3-x+5)/(2x^3+3x^2-7) is x\approx-1.64948…,x\approx 0.22450…

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critical (-x^3-x+5)/(2x^3+3x^2-7)

critical points

\frac{- x ^{3} - x + 5}{2 x ^{3} + 3 x ^{2} - 7}

x \approx - 1.64948 \dots, x \approx 0.22450 \dots

Solution steps

\frac{- x ^{3} - x + 5}{2 x ^{3} + 3 x ^{2} - 7}

Find where

f^{'} (x)

is equal to zero or undefined

x \approx - 1.64948 \dots, x \approx 0.22450 \dots, x \approx 1.14937 \dots

Identify critical points not in

f (x)

domain

Domain of

\frac{- x ^{3} - x + 5}{2 x ^{3} + 3 x ^{2} - 7} : x < 1.14937 \dots or x > 1.14937 \dots

\frac{- x ^{3} - x + 5}{2 x ^{3} + 3 x ^{2} - 7}

is not defined at

x \approx 1.14937 \dots

, therefore:

x \approx - 1.64948 \dots, x \approx 0.22450 \dots

What is the critical (-x^3-x+5)/(2x^3+3x^2-7) ?
The critical (-x^3-x+5)/(2x^3+3x^2-7) is x\approx-1.64948…,x\approx 0.22450…