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Popular >

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

Solution

extreme points

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

Solution

Maximum (- 1, - 7), Minimum (- \frac{1}{3}, - \frac{193}{27})

Solution steps

f^{'} (x) = 3 x^{2} + 4 x + 1

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

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

Increasing

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

Plug

x = - 1

into

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

Maximum (- 1, - 7)

Plug

x = - \frac{1}{3}

into

x^{3} + 2 x^{2} + x - 7 : - \frac{193}{27}

Minimum (- \frac{1}{3}, - \frac{193}{27})

Maximum (- 1, - 7), Minimum (- \frac{1}{3}, - \frac{193}{27})

Popular Examples

symmetry y=-x^2+8x-17 symmetry

y = - x^{2} + 8 x - 17

domain of f(x)=sqrt(9-x^2)+sqrt(x+1)domain

f (x) = 9 - x^{2} + x + 1

symmetry y^2=2x^4-4 symmetry

y^{2} = 2 x^{4} - 4

range of (x+2)^2 range

(x + 2)^{2}

domain of sqrt(x-3)domain

x - 3

Frequently Asked Questions (FAQ)

What is the extreme x^3+2x^2+x-7 ?
The extreme x^3+2x^2+x-7 is Maximum(-1,-7),Minimum(-1/3 ,-193/27)