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Popular >

extreme x^3-12x+1

Solution

extreme points

x^{3} - 12 x + 1

Solution

Maximum (- 2, 17), Minimum (2, - 15)

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 + 1 : 17

Maximum (- 2, 17)

Plug

x = 2

into

x^{3} - 12 x + 1 : - 15

Minimum (2, - 15)

Maximum (- 2, 17), Minimum (2, - 15)

Popular Examples

extreme f(x)= 1/x ,-2<= x<= 3 extreme points

f (x) = \frac{1}{x}, - 2 \leq x \leq 3

extreme f(x)=(x-2)^3(x-1)extreme points

f (x) = (x - 2)^{3} (x - 1)

extreme f(x)=1+1/x-1/(x^2)extreme points

f (x) = 1 + \frac{1}{x} - \frac{1}{x ^{2}}

extreme f(x)=x^{1/5}(x+3)extreme points

f (x) = x^{\frac{1}{5}} (x + 3)

extreme x^3+3x^2+1 extreme points

x^{3} + 3 x^{2} + 1

Frequently Asked Questions (FAQ)

What is the extreme x^3-12x+1 ?
The extreme x^3-12x+1 is Maximum(-2,17),Minimum(2,-15)