What is the extreme f(x)=250+8x^3+x^4 ?

The extreme f(x)=250+8x^3+x^4 is Minimum(-6,-182),Saddle(0,250)

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extreme f(x)=250+8x^3+x^4

extreme points

f (x) = 250 + 8 x^{3} + x^{4}

Minimum (- 6, - 182), Saddle (0, 250)

Solution steps

f^{'} (x) = 4 x^{3} + 24 x^{2}

Find intervals:

Decreasing

: - \infty < x < - 6,

Increasing

: - 6 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 6

into

250 + 8 x^{3} + x^{4} : - 182

Minimum (- 6, - 182)

Plug

x = 0

into

250 + 8 x^{3} + x^{4} : 250

Saddle (0, 250)

Minimum (- 6, - 182), Saddle (0, 250)

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

f (x, y) = (x - 1)^{2} + y^{3} - 3 y^{2} - 9 y + 5

f (x) = 3 cos (3 x) + sin (3 x)

f (x, y) = x e^{- y} + \frac{y}{x}

f (x, y) = x^{2} + 3 x y + y^{2} + 5 x - 7 y

What is the extreme f(x)=250+8x^3+x^4 ?
The extreme f(x)=250+8x^3+x^4 is Minimum(-6,-182),Saddle(0,250)