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Popular Functions >

extreme x^3+x^2-5x+1

Solution

extreme

Solution

Maximum (- \frac{5}{3}, \frac{202}{27}), Minimum (1, - 2)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - \frac{5}{3},

Decreasing

: - \frac{5}{3} < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - \frac{5}{3}

into

x^{3} + x^{2} - 5 x + 1 : \frac{202}{27}

Maximum (- \frac{5}{3}, \frac{202}{27})

Plug

x = 1

into

x^{3} + x^{2} - 5 x + 1 : - 2

Minimum (1, - 2)

Maximum (- \frac{5}{3}, \frac{202}{27}), Minimum (1, - 2)

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme x^3+x^2-5x+1 ?
The extreme x^3+x^2-5x+1 is Maximum(-5/3 , 202/27),Minimum(1,-2)