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Popular >

extreme f(x)=2x^2-6x+4

Solution

extreme points

f (x) = 2 x^{2} - 6 x + 4

Solution

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

Solution steps

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

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{3}{2}

into

2 x^{2} - 6 x + 4 : - \frac{1}{2}

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

Graph

Popular Examples

extreme f(x)=2x^3+3x^2,1<= x<= 2 extreme points

f (x) = 2 x^{3} + 3 x^{2}, 1 \leq x \leq 2

extreme y=x^3-8x^2-12x+8 extreme points

y = x^{3} - 8 x^{2} - 12 x + 8

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

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

extreme f(x,y)=(2x-x^2)(2y-y^2)extreme points

f (x, y) = (2 x - x^{2}) (2 y - y^{2})

extreme f(x)=(x-2)e^x+2 extreme points

f (x) = (x - 2) e^{x} + 2

Frequently Asked Questions (FAQ)

What is the extreme f(x)=2x^2-6x+4 ?
The extreme f(x)=2x^2-6x+4 is Minimum(3/2 ,-1/2)