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Popular >

monotone x-3+2/(x+1)

Solution

monotone intervals

x - 3 + \frac{2}{x + 1}

Solution

Increasing : - \infty < x < - 1 - 2, Decreasing : - 1 - 2 < x < - 1, Decreasing : - 1 < x < - 1 + 2, Increasing : - 1 + 2 < x < \infty

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1 - 2,

Decreasing

: - 1 - 2 < x < - 1,

Decreasing

: - 1 < x < - 1 + 2,

Increasing

: - 1 + 2 < x < \infty

Increasing : - \infty < x < - 1 - 2, Decreasing : - 1 - 2 < x < - 1, Decreasing : - 1 < x < - 1 + 2, Increasing : - 1 + 2 < x < \infty

Popular Examples

domain of x^2-3 domain

x^{2} - 3

intercepts of f(x)=(x^3+8)/(x^2+4)intercepts

f (x) = \frac{x ^{3} + 8}{x ^{2} + 4}

domain of f(x)=3x+7 domain

f (x) = 3 x + 7

inflection f(x)=3x+(x+2)^{3/5}inflection points

f (x) = 3 x + (x + 2)^{\frac{3}{5}}

line (4,1),(8,2)line

(4, 1), (8, 2)

Frequently Asked Questions (FAQ)

What is the monotone x-3+2/(x+1) ?
The monotone x-3+2/(x+1) is