What is the derivative of (x+2((300)/x+4)) ?

The derivative of (x+2((300)/x+4)) is -(600)/(x^2)+4

What is the first derivative of (x+2((300)/x+4)) ?

The first derivative of (x+2((300)/x+4)) is -(600)/(x^2)+4

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\frac{d}{d x} ((x + 2) (\frac{300}{x} + 4))

- \frac{600}{x ^{2}} + 4

Solution steps

\frac{d}{d x} ((x + 2) (\frac{300}{x} + 4))

Simplify

(x + 2) (\frac{300}{x} + 4) : 4 x + \frac{600}{x} + 308

= \frac{d}{d x} (4 x + \frac{600}{x} + 308)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x) + \frac{d}{d x} (\frac{600}{x}) + \frac{d}{d x} (308)

\frac{d}{d x} (4 x) = 4

\frac{d}{d x} (\frac{600}{x}) = - \frac{600}{x ^{2}}

\frac{d}{d x} (308) = 0

= 4 - \frac{600}{x ^{2}} + 0

Simplify

= - \frac{600}{x ^{2}} + 4

What is the derivative of (x+2((300)/x+4)) ?
The derivative of (x+2((300)/x+4)) is -(600)/(x^2)+4
What is the first derivative of (x+2((300)/x+4)) ?
The first derivative of (x+2((300)/x+4)) is -(600)/(x^2)+4