What is the derivative of f(x)=20x+(420)/x ?

The derivative of f(x)=20x+(420)/x is 20-(420)/(x^2)

What is the first derivative of f(x)=20x+(420)/x ?

The first derivative of f(x)=20x+(420)/x is 20-(420)/(x^2)

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derivative of

f (x) = 20 x + \frac{420}{x}

20 - \frac{420}{x ^{2}}

Solution steps

\frac{d}{d x} (20 x + \frac{420}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (20 x) + \frac{d}{d x} (\frac{420}{x})

\frac{d}{d x} (20 x) = 20

\frac{d}{d x} (\frac{420}{x}) = - \frac{420}{x ^{2}}

= 20 - \frac{420}{x ^{2}}

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What is the derivative of f(x)=20x+(420)/x ?
The derivative of f(x)=20x+(420)/x is 20-(420)/(x^2)
What is the first derivative of f(x)=20x+(420)/x ?
The first derivative of f(x)=20x+(420)/x is 20-(420)/(x^2)