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Popular Functions >

extreme (x^2-3)/(x-2)

Solution

extreme points

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

Solution

Maximum (1, 2), Minimum (3, 6)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < 2,

Decreasing

: 2 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 1

into

\frac{x ^{2} - 3}{x - 2} : 2

Maximum (1, 2)

Plug

x = 3

into

\frac{x ^{2} - 3}{x - 2} : 6

Minimum (3, 6)

Maximum (1, 2), Minimum (3, 6)

Graph

Popular Examples

periodicity of f(x)=2cos(6x+pi/2)

domain of (-6+3x^2)/(x^2-1)

intercepts of f(x)=5x+3

slope of 12x+3y=-3

inverse of f(x)= 1/6 x^3-5

Frequently Asked Questions (FAQ)

What is the extreme (x^2-3)/(x-2) ?
The extreme (x^2-3)/(x-2) is Maximum(1,2),Minimum(3,6)