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

The extreme f(x)=x^3-3x^2-24x-10 is Maximum(-2,18),Minimum(4,-90)

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

extreme points

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

Maximum (- 2, 18), Minimum (4, - 90)

Solution steps

f^{'} (x) = 3 x^{2} - 6 x - 24

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = - 2

into

x^{3} - 3 x^{2} - 24 x - 10 : 18

Maximum (- 2, 18)

Plug

x = 4

into

x^{3} - 3 x^{2} - 24 x - 10 : - 90

Minimum (4, - 90)

Maximum (- 2, 18), Minimum (4, - 90)

What is the extreme f(x)=x^3-3x^2-24x-10 ?
The extreme f(x)=x^3-3x^2-24x-10 is Maximum(-2,18),Minimum(4,-90)