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Popular >

extreme x^3-27x+48

Solution

extreme points

x^{3} - 27 x + 48

Solution

Maximum (- 3, 102), Minimum (3, - 6)

Solution steps

f^{'} (x) = 3 x^{2} - 27

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

x^{3} - 27 x + 48 : 102

Maximum (- 3, 102)

Plug

x = 3

into

x^{3} - 27 x + 48 : - 6

Minimum (3, - 6)

Maximum (- 3, 102), Minimum (3, - 6)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme x^3-27x+48 ?
The extreme x^3-27x+48 is Maximum(-3,102),Minimum(3,-6)