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Popular >

extreme x^3-x^2-x+4

Solution

extreme points

x^{3} - x^{2} - x + 4

Solution

Maximum (- \frac{1}{3}, \frac{113}{27}), Minimum (1, 3)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - \frac{1}{3},

Decreasing

: - \frac{1}{3} < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - \frac{1}{3}

into

x^{3} - x^{2} - x + 4 : \frac{113}{27}

Maximum (- \frac{1}{3}, \frac{113}{27})

Plug

x = 1

into

x^{3} - x^{2} - x + 4 : 3

Minimum (1, 3)

Maximum (- \frac{1}{3}, \frac{113}{27}), Minimum (1, 3)

Popular Examples

extreme x^3-x^2-x+7 extreme points

x^{3} - x^{2} - x + 7

extreme f(x)=x^5y^2-3x^3+10+5y^3-xy extreme points

f (x) = x^{5} y^{2} - 3 x^{3} + 10 + 5 y^{3} - x y

extreme f(x)=(0.2t)/(t^2+59)extreme points

f (x) = \frac{0.2 t}{t ^{2} + 59}

extreme (18)/x+3x^2 extreme points

\frac{18}{x} + 3 x^{2}

extreme f(x)=3x^2-4x+12 extreme points

f (x) = 3 x^{2} - 4 x + 12

Frequently Asked Questions (FAQ)

What is the extreme x^3-x^2-x+4 ?
The extreme x^3-x^2-x+4 is Maximum(-1/3 , 113/27),Minimum(1,3)