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Popular >

extreme f(x)=3x^2+4x+1

Solution

extreme points

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

Solution

Minimum (- \frac{2}{3}, - \frac{1}{3})

Solution steps

f^{'} (x) = 6 x + 4

Find intervals:

Decreasing

: - \infty < x < - \frac{2}{3},

Increasing

: - \frac{2}{3} < x < \infty

Plug

x = - \frac{2}{3}

into

3 x^{2} + 4 x + 1 : - \frac{1}{3}

Minimum (- \frac{2}{3}, - \frac{1}{3})

Popular Examples

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f (x) = \frac{x}{6}

inflection (x^2)/(x^2-1)inflection points

\frac{x ^{2}}{x ^{2} - 1}

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=3x^2+4x+1 ?
The extreme f(x)=3x^2+4x+1 is Minimum(-2/3 ,-1/3)