What is the derivative of 3/(x+2) ?

The derivative of 3/(x+2) is -3/((x+2)^2)

What is the first derivative of 3/(x+2) ?

The first derivative of 3/(x+2) is -3/((x+2)^2)

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derivative of

\frac{3}{x + 2}

- \frac{3}{( x + 2 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{3}{x + 2})

Take the constant out:

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

= 3 \frac{d}{d x} (\frac{1}{x + 2})

Apply exponent rule:

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

= 3 \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

= 3 (- \frac{1}{( x + 2 ) ^{2}} \cdot 1)

Simplify

3 (- \frac{1}{( x + 2 ) ^{2}} \cdot 1) : - \frac{3}{( x + 2 ) ^{2}}

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

n = 1 \sum \infty \frac{1}{( 2 n - 1 ) ^{4}}

\frac{d}{d x} ((e^{(x^{2})} + 4)^{2})

y^{^{''}} - 8 y^{^{'}} + 18 y = 0, y (0) = 1, y^{^{'}} (0) = - 4

\int (8 x^{2} + 5)^{10} x d x

\int 2 x (x^{2} + 7)^{7} d x

What is the derivative of 3/(x+2) ?
The derivative of 3/(x+2) is -3/((x+2)^2)
What is the first derivative of 3/(x+2) ?
The first derivative of 3/(x+2) is -3/((x+2)^2)