What is the derivative of f(x)= 2/(x+2) ?

The derivative of f(x)= 2/(x+2) is -2/((x+2)^2)

What is the first derivative of f(x)= 2/(x+2) ?

The first derivative of f(x)= 2/(x+2) is -2/((x+2)^2)

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derivative of

f (x) = \frac{2}{x + 2}

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

Solution steps

\frac{d}{d x} (\frac{2}{x + 2})

Take the constant out:

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

= 2 \frac{d}{d x} (\frac{1}{x + 2})

Apply exponent rule:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (x + 2) = 1

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

Simplify

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

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

4 tan (x)

\frac{d}{d x} (\frac{x - 3}{x + 3})

\frac{d}{d x} (\frac{- 2 x ^{2}}{5 y ^{2}})

\int_{0}^{3} \frac{2}{3 - x} d x

\frac{d}{d x} (\frac{2 x - 1}{x + 5})

What is the derivative of f(x)= 2/(x+2) ?
The derivative of f(x)= 2/(x+2) is -2/((x+2)^2)
What is the first derivative of f(x)= 2/(x+2) ?
The first derivative of f(x)= 2/(x+2) is -2/((x+2)^2)