What is the derivative of 6/(x+2) ?

The derivative of 6/(x+2) is -6/((x+2)^2)

What is the first derivative of 6/(x+2) ?

The first derivative of 6/(x+2) is -6/((x+2)^2)

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\frac{d}{d x} (\frac{6}{x + 2})

- \frac{6}{( x + 2 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{6}{x + 2})

Take the constant out:

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

= 6 \frac{d}{d x} (\frac{1}{x + 2})

Apply exponent rule:

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

= 6 \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

= 6 (- \frac{1}{( x + 2 ) ^{2}} \cdot 1)

Simplify

6 (- \frac{1}{( x + 2 ) ^{2}} \cdot 1) : - \frac{6}{( x + 2 ) ^{2}}

= - \frac{6}{( x + 2 ) ^{2}}

f (x) = (2 + 3 x) (6 - 5 x), at x = 1

\frac{d}{d x} (e^{(3 - x)})

\frac{d}{d x} (x e^{- 3 x})

\int cos (x) (4 + 4 sin^{2} (x)) d x

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

What is the derivative of 6/(x+2) ?
The derivative of 6/(x+2) is -6/((x+2)^2)
What is the first derivative of 6/(x+2) ?
The first derivative of 6/(x+2) is -6/((x+2)^2)