What is the derivative of 4x+(144)/x+80 ?

The derivative of 4x+(144)/x+80 is -(144)/(x^2)+4

What is the first derivative of 4x+(144)/x+80 ?

The first derivative of 4x+(144)/x+80 is -(144)/(x^2)+4

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derivative of

4 x + \frac{144}{x} + 80

- \frac{144}{x ^{2}} + 4

Solution steps

\frac{d}{d x} (4 x + \frac{144}{x} + 80)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x) + \frac{d}{d x} (\frac{144}{x}) + \frac{d}{d x} (80)

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

\frac{d}{d x} (\frac{144}{x}) = - \frac{144}{x ^{2}}

\frac{d}{d x} (80) = 0

= 4 - \frac{144}{x ^{2}} + 0

Simplify

= - \frac{144}{x ^{2}} + 4

What is the derivative of 4x+(144)/x+80 ?
The derivative of 4x+(144)/x+80 is -(144)/(x^2)+4
What is the first derivative of 4x+(144)/x+80 ?
The first derivative of 4x+(144)/x+80 is -(144)/(x^2)+4