What is the derivative of 2/(x-11) ?

The derivative of 2/(x-11) is -2/((x-11)^2)

What is the first derivative of 2/(x-11) ?

The first derivative of 2/(x-11) is -2/((x-11)^2)

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\frac{d}{d x} (\frac{2}{x - 11})

- \frac{2}{( x - 11 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{2}{x - 11})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (\frac{1}{x - 11})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 2 \frac{d}{d x} ((x - 11)^{- 1})

Apply the chain rule:

- \frac{1}{( x - 11 ) ^{2}} \frac{d}{d x} (x - 11)

= - \frac{1}{( x - 11 ) ^{2}} \frac{d}{d x} (x - 11)

\frac{d}{d x} (x - 11) = 1

= 2 (- \frac{1}{( x - 11 ) ^{2}} \cdot 1)

Simplify

2 (- \frac{1}{( x - 11 ) ^{2}} \cdot 1) : - \frac{2}{( x - 11 ) ^{2}}

= - \frac{2}{( x - 11 ) ^{2}}

x \to 9 lim (\frac{6}{( x - 9 ) ^{2}})

x \to 0 lim (\frac{x}{x + x ^{2}})

x \to 0 lim (3 x - 2)

\int x x + 5 d x

x \to 0 lim (\frac{tanh ( x )}{x})

What is the derivative of 2/(x-11) ?
The derivative of 2/(x-11) is -2/((x-11)^2)
What is the first derivative of 2/(x-11) ?
The first derivative of 2/(x-11) is -2/((x-11)^2)