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Popular >

extreme 3x^2-4x-1

Solution

extreme points

3 x^{2} - 4 x - 1

Solution

Minimum (\frac{2}{3}, - \frac{7}{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{7}{3}

Minimum (\frac{2}{3}, - \frac{7}{3})

Popular Examples

extreme f(x)=f(x)=3x 5/3-15x 2/3 extreme points

f (x) = f (x) = 3 x \frac{5}{3} - 15 x \frac{2}{3}

extreme (x+3)/(x^3+2x^2-15x-36)extreme points

\frac{x + 3}{x ^{3} + 2 x ^{2} - 15 x - 36}

extreme f(x)=(4x)/(sqrt(x^2+3))extreme points

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

extreme f(x,y)=(x-3)(y-3)(x+y-3)extreme points

f (x, y) = (x - 3) (y - 3) (x + y - 3)

extreme (5x-3)/(sqrt(36-x^2))extreme points

\frac{5 x - 3}{36 - x ^{2}}

Frequently Asked Questions (FAQ)

What is the extreme 3x^2-4x-1 ?
The extreme 3x^2-4x-1 is Minimum(2/3 ,-7/3)