What is the critical 2x^4-30x^2 ?

The critical 2x^4-30x^2 is x=-sqrt(15/2),x=0,x=sqrt(15/2)

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critical 2x^4-30x^2

critical points

2 x^{4} - 30 x^{2}

x = - \frac{15}{2}, x = 0, x = \frac{15}{2}

Solution steps

2 x^{4} - 30 x^{2}

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{15}{2}, x = 0, x = \frac{15}{2}

Identify critical points not in

f (x)

domain

Domain of

2 x^{4} - 30 x^{2} : - \infty < x < \infty

All critical points are in domain

x = - \frac{15}{2}, x = 0, x = \frac{15}{2}

8 x - 4 y = 16

(1 - 6) (3 - 2)

\frac{1}{3} x^{3} + 3 x^{2} + 5 x

f (x) = - 4 cos (2 x)

f (x) = \frac{1}{5} cos (3 x - π)

What is the critical 2x^4-30x^2 ?
The critical 2x^4-30x^2 is x=-sqrt(15/2),x=0,x=sqrt(15/2)