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Popular >

extreme x^3-27x+5

Solution

extreme points

x^{3} - 27 x + 5

Solution

Maximum (- 3, 59), Minimum (3, - 49)

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 + 5 : 59

Maximum (- 3, 59)

Plug

x = 3

into

x^{3} - 27 x + 5 : - 49

Minimum (3, - 49)

Maximum (- 3, 59), Minimum (3, - 49)

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Frequently Asked Questions (FAQ)

What is the extreme x^3-27x+5 ?
The extreme x^3-27x+5 is Maximum(-3,59),Minimum(3,-49)