How do we differentiate ?,

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How do we differentiate ?,

$x$ $x$ $/$ $/$ $x$ $x$ $+$ $+$ $1$ $1$

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Answer 1 · 2017-05-16T15:18:44

To differentiate $\frac{1}{x + 1}$ $1/(x+1)$ use the quotient rule. To differentiate $\frac{x}{x} + 1$ $x/x+1$ simplify first.

Explanation:

Derivative of a constant
$\frac{d}{d x} (\frac{x}{x} + 1) = \frac{d}{d x} (1 + 1) = \frac{d}{d x} (2) = 0$ $d/dx(x/x+1) = d/dx(1+1) = d/dx(2) = 0$ $" "$ (for $x \neq 0$ $x != 0$ )

Quotient Rule

$d/dx(u/v) = (u'v-uv')/v^2$

So $d/dx(x/(x+1)) = ((1)(x+1)-(x)(1))/(x+1)^2 = 1/(x+1)^2$

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How do we differentiate ?,

$x$ $x$ $/$ $/$ $x$ $x$ $+$ $+$ $1$ $1$

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How do we differentiate ?,

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