What is the extreme f(x)=4x^3-48x-6 ?

The extreme f(x)=4x^3-48x-6 is Maximum(-2,58),Minimum(2,-70)

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extreme f(x)=4x^3-48x-6

extreme points

f (x) = 4 x^{3} - 48 x - 6

Maximum (- 2, 58), Minimum (2, - 70)

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 - 6 : 58

Maximum (- 2, 58)

Plug

x = 2

into

4 x^{3} - 48 x - 6 : - 70

Minimum (2, - 70)

Maximum (- 2, 58), Minimum (2, - 70)

(- 3, - 2), (- 1, - 2)

x - 1 + 1

f (x) = \frac{x + 2}{x ^{2} + 3 x - 10}

(- 9, - 1), (5, - 5)

What is the extreme f(x)=4x^3-48x-6 ?
The extreme f(x)=4x^3-48x-6 is Maximum(-2,58),Minimum(2,-70)