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Popular >

extreme f(x)=x^4-4x-6

Solution

extreme points

f (x) = x^{4} - 4 x - 6

Solution

Minimum (1, - 9)

Solution steps

f^{'} (x) = 4 x^{3} - 4

Find intervals:

Decreasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

x^{4} - 4 x - 6 : - 9

Minimum (1, - 9)

Graph

Popular Examples

extreme f(x,y)=x^3+y^3-12x-15y extreme points

f (x, y) = x^{3} + y^{3} - 12 x - 15 y

extreme f(x)=(x+6)/(x-3)extreme points

f (x) = \frac{x + 6}{x - 3}

extreme y=4x-9x^{4/9}extreme points

y = 4 x - 9 x^{\frac{4}{9}}

extreme f(x)=2x^3+3x^2-72x+1,-4<= x<= 7 extreme points

f (x) = 2 x^{3} + 3 x^{2} - 72 x + 1, - 4 \leq x \leq 7

extreme x^3+3x^2+9x extreme points

x^{3} + 3 x^{2} + 9 x

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^4-4x-6 ?
The extreme f(x)=x^4-4x-6 is Minimum(1,-9)