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Popular >

extreme f(x)=3x^2-4x-2

Solution

extreme points

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

Solution

Minimum (\frac{2}{3}, - \frac{10}{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 - 2 : - \frac{10}{3}

Minimum (\frac{2}{3}, - \frac{10}{3})

Popular Examples

extreme f(x)=-x^3+7x^2-15x extreme points

f (x) = - x^{3} + 7 x^{2} - 15 x

asymptotes of (x^2-2x+1)/(x^3-3x^2)asymptotes

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

inverse of f(x)=(2x-3)/(7x+5)inverse

f (x) = \frac{2 x - 3}{7 x + 5}

inverse of y=-sqrt(x+2)inverse

y = - x + 2

inflection (5x^2+6x-2)(x-5)inflection points

(5 x^{2} + 6 x - 2) (x - 5)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=3x^2-4x-2 ?
The extreme f(x)=3x^2-4x-2 is Minimum(2/3 ,-10/3)