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Popular >

derivative of 4x+(600/x+308)

Solution

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

Solution

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

Solution steps

\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

Popular Examples

y^'+1/x y= 7/(x^2)+3

y^{^{'}} + \frac{1}{x} y = \frac{7}{x ^{2}} + 3

limit as x approaches 1 of (x-3)/(x^2-9)

x \to 1 lim (\frac{x - 3}{x ^{2} - 9})

derivative of log_{4}(x^2-9x)

\frac{d}{d x} (lo g_{4} (x^{2} - 9 x))

integral of 3/(-1-x)

\int \frac{3}{- 1 - x} d x

limit as x approaches 0 of 1/2+x^2

x \to 0 lim (\frac{1}{2} + x^{2})

Frequently Asked Questions (FAQ)

What is the derivative of 4x+(600/x+308) ?
The derivative of 4x+(600/x+308) is -(600)/(x^2)+4
What is the first derivative of 4x+(600/x+308) ?
The first derivative of 4x+(600/x+308) is -(600)/(x^2)+4