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Popular >

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

Solution

extreme points

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

Solution

Minimum (- 1, - 2), Maximum (1, 2)

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

- x^{3} + 3 x : - 2

Minimum (- 1, - 2)

Plug

x = 1

into

- x^{3} + 3 x : 2

Maximum (1, 2)

Minimum (- 1, - 2), Maximum (1, 2)

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range of 1-log_{2}(4-2x)range

1 - lo g_{2} (4 - 2 x)

range of 3(0.5)^x range

3 (0.5)^{x}

inverse of f(x)=-8-5x inverse

f (x) = - 8 - 5 x

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^3+3x ?
The extreme f(x)=-x^3+3x is Minimum(-1,-2),Maximum(1,2)