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Popular >

extreme f(x)=3x-x^3+5

Solution

extreme points

f (x) = 3 x - x^{3} + 5

Solution

Minimum (- 1, 3), Maximum (1, 7)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = - 1

into

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

Minimum (- 1, 3)

Plug

x = 1

into

3 x - x^{3} + 5 : 7

Maximum (1, 7)

Minimum (- 1, 3), Maximum (1, 7)

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f (x) = - x^{2} - 9

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f (x) = - x^{2} + x

Frequently Asked Questions (FAQ)

What is the extreme f(x)=3x-x^3+5 ?
The extreme f(x)=3x-x^3+5 is Minimum(-1,3),Maximum(1,7)