What is the critical f(x)=x^4-5x^3+7x ?

The critical f(x)=x^4-5x^3+7x is x\approx-0.63195…,x\approx 0.76577…,x=3.61617…

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critical f(x)=x^4-5x^3+7x

critical points

f (x) = x^{4} - 5 x^{3} + 7 x

x \approx - 0.63195 \dots, x \approx 0.76577 \dots, x = 3.61617 \dots

Solution steps

x^{4} - 5 x^{3} + 7 x

Find where

f^{'} (x)

is equal to zero or undefined

x \approx - 0.63195 \dots, x \approx 0.76577 \dots, x = 3.61617 \dots

Identify critical points not in

f (x)

domain

Domain of

x^{4} - 5 x^{3} + 7 x : - \infty < x < \infty

All critical points are in domain

x \approx - 0.63195 \dots, x \approx 0.76577 \dots, x = 3.61617 \dots

- 3 x + 7

f (x) = arcsin (x^{2} - 1)

3 x + 15 y = 30

f (x) = \frac{6}{4 - x ^{2}}

\frac{1}{4} x - \frac{1}{6}

What is the critical f(x)=x^4-5x^3+7x ?
The critical f(x)=x^4-5x^3+7x is x\approx-0.63195…,x\approx 0.76577…,x=3.61617…