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Popular >

extreme sqrt(x^2-1)+2

Solution

extreme points

x^{2} - 1 + 2

Solution

Minimum (- 1, 2), Minimum (1, 2)

Solution steps

f^{'} (x) = \frac{x}{x ^{2} - 1}

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

x^{2} - 1 + 2 : 2

Minimum (- 1, 2)

Plug

x = 1

into

x^{2} - 1 + 2 : 2

Minimum (1, 2)

Minimum (- 1, 2), Minimum (1, 2)

Graph

Popular Examples

extreme f(x)=-7/3 x^3+14x^2+147x+2 extreme points

f (x) = - \frac{7}{3} x^{3} + 14 x^{2} + 147 x + 2

extreme f(x)=(x^3)/2-2x^2+1 extreme points

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

extreme \sqrt[3]{t}(8-t)extreme points

3 t (8 - t)

extreme f(x)=-x^2+50ln(x)extreme points

f (x) = - x^{2} + 50 ln (x)

extreme f(x)=-69.7x^2+625.6x extreme points

f (x) = - 69.7 x^{2} + 625.6 x

Frequently Asked Questions (FAQ)

What is the extreme sqrt(x^2-1)+2 ?
The extreme sqrt(x^2-1)+2 is Minimum(-1,2),Minimum(1,2)