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Popular Functions >

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

Solution

extreme

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})

Graph

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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)