What is the extreme f(x)=-2x^4-24x^3-10 ?

The extreme f(x)=-2x^4-24x^3-10 is Maximum(-9,4364),Saddle(0,-10)

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extreme f(x)=-2x^4-24x^3-10

extreme points

f (x) = - 2 x^{4} - 24 x^{3} - 10

Maximum (- 9, 4364), Saddle (0, - 10)

Solution steps

f^{'} (x) = - 8 x^{3} - 72 x^{2}

Find intervals:

Increasing

: - \infty < x < - 9,

Decreasing

: - 9 < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = - 9

into

- 2 x^{4} - 24 x^{3} - 10 : 4364

Maximum (- 9, 4364)

Plug

x = 0

into

- 2 x^{4} - 24 x^{3} - 10 : - 10

Saddle (0, - 10)

Maximum (- 9, 4364), Saddle (0, - 10)

l in e m = 8, (- 4, 1)

sy mm e t ry \frac{8 x}{x ^{2} - 16}

r an g e f (x) = \frac{x - 3}{x + 2}

in v erse f (x) = - \frac{4}{7} x - \frac{16}{7}

d o main f (x) = x^{2} - 3 x + 2

What is the extreme f(x)=-2x^4-24x^3-10 ?
The extreme f(x)=-2x^4-24x^3-10 is Maximum(-9,4364),Saddle(0,-10)