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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (3) = 0

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

= 0 - \frac{2}{m ( x + 2 ) ^{2}}

Simplify

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

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