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

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

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

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

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derivative of

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

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

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

2 tan (x) + sec (x) - 3 cot (x)

\frac{x ^{3}}{3 - 3 x}

arcsin (e^{x})

3^{x} + 2

lo g_{10} (\frac{2}{x})

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