What is the extreme f(x)=4x^3-48x-2 ?

The extreme f(x)=4x^3-48x-2 is Maximum(-2,62),Minimum(2,-66)

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extreme f(x)=4x^3-48x-2

extreme points

f (x) = 4 x^{3} - 48 x - 2

Maximum (- 2, 62), Minimum (2, - 66)

Solution steps

f^{'} (x) = 12 x^{2} - 48

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

4 x^{3} - 48 x - 2 : 62

Maximum (- 2, 62)

Plug

x = 2

into

4 x^{3} - 48 x - 2 : - 66

Minimum (2, - 66)

Maximum (- 2, 62), Minimum (2, - 66)

s l o p e 11 x + 8 y + 100 = 0

in v erse - (n + 1)^{3}

d o main f (x) = 2 + tan (x)

d o main f (x) = \frac{x}{x ^{2} + 13 x + 40}

r an g e \frac{1}{x ^{2} - 4}

What is the extreme f(x)=4x^3-48x-2 ?
The extreme f(x)=4x^3-48x-2 is Maximum(-2,62),Minimum(2,-66)