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Popular >

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

Solution

extreme points

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

Solution

Maximum (\frac{3}{2}, \frac{1}{4})

Solution steps

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

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{3}{2}

into

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

Maximum (\frac{3}{2}, \frac{1}{4})

Popular Examples

symmetry y=3x^3 symmetry

y = 3 x^{3}

distance (3,4),(0,-8)distance

(3, 4), (0, - 8)

domain of f(x)=((sqrt(x)))/(4x^2+3x-1)domain

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

domain of sqrt(3)domain

3

inverse of f(x)=\sqrt[12]{x}inverse

Frequently Asked Questions (FAQ)

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