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Popular >

extreme x^3-12x

Solution

extreme points

x^{3} - 12 x

Solution

Maximum (- 2, 16), Minimum (2, - 16)

Solution steps

f^{'} (x) = 3 x^{2} - 12

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

x^{3} - 12 x : 16

Maximum (- 2, 16)

Plug

x = 2

into

x^{3} - 12 x : - 16

Minimum (2, - 16)

Maximum (- 2, 16), Minimum (2, - 16)

Popular Examples

extreme f(x)=x^2+3x+3 extreme points

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

range of f(x)=(2x^2-3)/5 range

f (x) = \frac{2 x ^{2} - 3}{5}

periodicity of 4cos(x/2)periodicity

4 cos (\frac{x}{2})

parity sqrt(x)parity

x

inverse of (3x)/(x+2)inverse

\frac{3 x}{x + 2}

Frequently Asked Questions (FAQ)

What is the extreme x^3-12x ?
The extreme x^3-12x is Maximum(-2,16),Minimum(2,-16)